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Finding the Third Proportional to 986,052 and 1,520,850

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Solution

The third proportional to 986,052 and 1,520,850 is: 2,345,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,052 : 1,520,850 = 1,520,850 : x
  2. Step 2: Convert to fraction form
    986,052/1,520,850 = 1,520,850/x
  3. Step 3: Cross multiply
    986,052x = 1,520,850 × 1,520,850
  4. Step 4: Simplify right side
    986,052x = 2,312,984,722,500
  5. Step 5: Solve for x
    x = 2,312,984,722,500/986,052
  6. Step 6: Final answer
    x = 2,345,702.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.