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Finding the Third Proportional to 500,784,940 and 1,070,488,088

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Solution

The third proportional to 500,784,940 and 1,070,488,088 is: 2,288,297,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,784,940 : 1,070,488,088 = 1,070,488,088 : x
  2. Step 2: Convert to fraction form
    500,784,940/1,070,488,088 = 1,070,488,088/x
  3. Step 3: Cross multiply
    500,784,940x = 1,070,488,088 × 1,070,488,088
  4. Step 4: Simplify right side
    500,784,940x = 1,145,944,746,549,895,680
  5. Step 5: Solve for x
    x = 1,145,944,746,549,895,680/500,784,940
  6. Step 6: Final answer
    x = 2,288,297,141.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.