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Finding the Third Proportional to 779,061,742 and 1,164,704,088

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Solution

The third proportional to 779,061,742 and 1,164,704,088 is: 1,741,242,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,061,742 : 1,164,704,088 = 1,164,704,088 : x
  2. Step 2: Convert to fraction form
    779,061,742/1,164,704,088 = 1,164,704,088/x
  3. Step 3: Cross multiply
    779,061,742x = 1,164,704,088 × 1,164,704,088
  4. Step 4: Simplify right side
    779,061,742x = 1,356,535,612,603,911,680
  5. Step 5: Solve for x
    x = 1,356,535,612,603,911,680/779,061,742
  6. Step 6: Final answer
    x = 1,741,242,753.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.