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Finding the Third Proportional to 878,125,701 and 1,909,300,578

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Solution

The third proportional to 878,125,701 and 1,909,300,578 is: 4,151,374,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,125,701 : 1,909,300,578 = 1,909,300,578 : x
  2. Step 2: Convert to fraction form
    878,125,701/1,909,300,578 = 1,909,300,578/x
  3. Step 3: Cross multiply
    878,125,701x = 1,909,300,578 × 1,909,300,578
  4. Step 4: Simplify right side
    878,125,701x = 3,645,428,697,151,134,208
  5. Step 5: Solve for x
    x = 3,645,428,697,151,134,208/878,125,701
  6. Step 6: Final answer
    x = 4,151,374,561.75

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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.