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Finding the Third Proportional to 461,251,914 and 742,767,501

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Solution

The third proportional to 461,251,914 and 742,767,501 is: 1,196,100,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,251,914 : 742,767,501 = 742,767,501 : x
  2. Step 2: Convert to fraction form
    461,251,914/742,767,501 = 742,767,501/x
  3. Step 3: Cross multiply
    461,251,914x = 742,767,501 × 742,767,501
  4. Step 4: Simplify right side
    461,251,914x = 551,703,560,541,785,024
  5. Step 5: Solve for x
    x = 551,703,560,541,785,024/461,251,914
  6. Step 6: Final answer
    x = 1,196,100,316.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.