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Finding the Third Proportional to 460,516,704 and 751,902,724

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Solution

The third proportional to 460,516,704 and 751,902,724 is: 1,227,659,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,516,704 : 751,902,724 = 751,902,724 : x
  2. Step 2: Convert to fraction form
    460,516,704/751,902,724 = 751,902,724/x
  3. Step 3: Cross multiply
    460,516,704x = 751,902,724 × 751,902,724
  4. Step 4: Simplify right side
    460,516,704x = 565,357,706,358,620,160
  5. Step 5: Solve for x
    x = 565,357,706,358,620,160/460,516,704
  6. Step 6: Final answer
    x = 1,227,659,499.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.