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Finding the Third Proportional to 807,886,304 and 1,228,118,784

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Solution

The third proportional to 807,886,304 and 1,228,118,784 is: 1,866,940,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,886,304 : 1,228,118,784 = 1,228,118,784 : x
  2. Step 2: Convert to fraction form
    807,886,304/1,228,118,784 = 1,228,118,784/x
  3. Step 3: Cross multiply
    807,886,304x = 1,228,118,784 × 1,228,118,784
  4. Step 4: Simplify right side
    807,886,304x = 1,508,275,747,613,638,656
  5. Step 5: Solve for x
    x = 1,508,275,747,613,638,656/807,886,304
  6. Step 6: Final answer
    x = 1,866,940,608.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.