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Finding the Third Proportional to 878,125,699 and 1,909,300,574

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Solution

The third proportional to 878,125,699 and 1,909,300,574 is: 4,151,374,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,125,699 : 1,909,300,574 = 1,909,300,574 : x
  2. Step 2: Convert to fraction form
    878,125,699/1,909,300,574 = 1,909,300,574/x
  3. Step 3: Cross multiply
    878,125,699x = 1,909,300,574 × 1,909,300,574
  4. Step 4: Simplify right side
    878,125,699x = 3,645,428,681,876,729,344
  5. Step 5: Solve for x
    x = 3,645,428,681,876,729,344/878,125,699
  6. Step 6: Final answer
    x = 4,151,374,553.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.