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Finding the Third Proportional to 1,061,520,298.50 and 1,661,583,690

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Solution

The third proportional to 1,061,520,298.50 and 1,661,583,690 is: 2,600,854,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,520,298.50 : 1,661,583,690 = 1,661,583,690 : x
  2. Step 2: Convert to fraction form
    1,061,520,298.50/1,661,583,690 = 1,661,583,690/x
  3. Step 3: Cross multiply
    1,061,520,298.50x = 1,661,583,690 × 1,661,583,690
  4. Step 4: Simplify right side
    1,061,520,298.50x = 2,760,860,358,874,016,256
  5. Step 5: Solve for x
    x = 2,760,860,358,874,016,256/1,061,520,298.50
  6. Step 6: Final answer
    x = 2,600,854,983.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.