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Finding the Third Proportional to 461,252,001 and 742,767,630

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Solution

The third proportional to 461,252,001 and 742,767,630 is: 1,196,100,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,252,001 : 742,767,630 = 742,767,630 : x
  2. Step 2: Convert to fraction form
    461,252,001/742,767,630 = 742,767,630/x
  3. Step 3: Cross multiply
    461,252,001x = 742,767,630 × 742,767,630
  4. Step 4: Simplify right side
    461,252,001x = 551,703,752,175,816,896
  5. Step 5: Solve for x
    x = 551,703,752,175,816,896/461,252,001
  6. Step 6: Final answer
    x = 1,196,100,506.84

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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.