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Finding the Third Proportional to 542,433,506 and 1,177,337,866

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Solution

The third proportional to 542,433,506 and 1,177,337,866 is: 2,555,381,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,433,506 : 1,177,337,866 = 1,177,337,866 : x
  2. Step 2: Convert to fraction form
    542,433,506/1,177,337,866 = 1,177,337,866/x
  3. Step 3: Cross multiply
    542,433,506x = 1,177,337,866 × 1,177,337,866
  4. Step 4: Simplify right side
    542,433,506x = 1,386,124,450,717,433,856
  5. Step 5: Solve for x
    x = 1,386,124,450,717,433,856/542,433,506
  6. Step 6: Final answer
    x = 2,555,381,323.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.