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Finding the Third Proportional to 762,549,584 and 1,142,799,888

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Solution

The third proportional to 762,549,584 and 1,142,799,888 is: 1,712,664,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,549,584 : 1,142,799,888 = 1,142,799,888 : x
  2. Step 2: Convert to fraction form
    762,549,584/1,142,799,888 = 1,142,799,888/x
  3. Step 3: Cross multiply
    762,549,584x = 1,142,799,888 × 1,142,799,888
  4. Step 4: Simplify right side
    762,549,584x = 1,305,991,584,012,812,544
  5. Step 5: Solve for x
    x = 1,305,991,584,012,812,544/762,549,584
  6. Step 6: Final answer
    x = 1,712,664,476.40

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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.