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Finding the Third Proportional to 721,220,502 and 1,077,585,138

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Solution

The third proportional to 721,220,502 and 1,077,585,138 is: 1,610,034,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,220,502 : 1,077,585,138 = 1,077,585,138 : x
  2. Step 2: Convert to fraction form
    721,220,502/1,077,585,138 = 1,077,585,138/x
  3. Step 3: Cross multiply
    721,220,502x = 1,077,585,138 × 1,077,585,138
  4. Step 4: Simplify right side
    721,220,502x = 1,161,189,729,638,479,104
  5. Step 5: Solve for x
    x = 1,161,189,729,638,479,104/721,220,502
  6. Step 6: Final answer
    x = 1,610,034,277.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.