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Finding the Third Proportional to 460,681,674 and 706,419,999

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Solution

The third proportional to 460,681,674 and 706,419,999 is: 1,083,240,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,681,674 : 706,419,999 = 706,419,999 : x
  2. Step 2: Convert to fraction form
    460,681,674/706,419,999 = 706,419,999/x
  3. Step 3: Cross multiply
    460,681,674x = 706,419,999 × 706,419,999
  4. Step 4: Simplify right side
    460,681,674x = 499,029,214,987,160,000
  5. Step 5: Solve for x
    x = 499,029,214,987,160,000/460,681,674
  6. Step 6: Final answer
    x = 1,083,240,864.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.