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Finding the Third Proportional to 519,822 and 1,137,637

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Solution

The third proportional to 519,822 and 1,137,637 is: 2,489,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,822 : 1,137,637 = 1,137,637 : x
  2. Step 2: Convert to fraction form
    519,822/1,137,637 = 1,137,637/x
  3. Step 3: Cross multiply
    519,822x = 1,137,637 × 1,137,637
  4. Step 4: Simplify right side
    519,822x = 1,294,217,943,769
  5. Step 5: Solve for x
    x = 1,294,217,943,769/519,822
  6. Step 6: Final answer
    x = 2,489,732.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.