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Finding the Third Proportional to 460,681,650 and 706,419,963

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Solution

The third proportional to 460,681,650 and 706,419,963 is: 1,083,240,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,681,650 : 706,419,963 = 706,419,963 : x
  2. Step 2: Convert to fraction form
    460,681,650/706,419,963 = 706,419,963/x
  3. Step 3: Cross multiply
    460,681,650x = 706,419,963 × 706,419,963
  4. Step 4: Simplify right side
    460,681,650x = 499,029,164,124,921,344
  5. Step 5: Solve for x
    x = 499,029,164,124,921,344/460,681,650
  6. Step 6: Final answer
    x = 1,083,240,810.93

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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.