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Finding the Third Proportional to 837,044,873 and 1,306,428,182

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Solution

The third proportional to 837,044,873 and 1,306,428,182 is: 2,039,024,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,044,873 : 1,306,428,182 = 1,306,428,182 : x
  2. Step 2: Convert to fraction form
    837,044,873/1,306,428,182 = 1,306,428,182/x
  3. Step 3: Cross multiply
    837,044,873x = 1,306,428,182 × 1,306,428,182
  4. Step 4: Simplify right side
    837,044,873x = 1,706,754,594,723,825,152
  5. Step 5: Solve for x
    x = 1,706,754,594,723,825,152/837,044,873
  6. Step 6: Final answer
    x = 2,039,024,011.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.