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Finding the Third Proportional to 587,324 and 1,282,511

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Solution

The third proportional to 587,324 and 1,282,511 is: 2,800,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,324 : 1,282,511 = 1,282,511 : x
  2. Step 2: Convert to fraction form
    587,324/1,282,511 = 1,282,511/x
  3. Step 3: Cross multiply
    587,324x = 1,282,511 × 1,282,511
  4. Step 4: Simplify right side
    587,324x = 1,644,834,465,121
  5. Step 5: Solve for x
    x = 1,644,834,465,121/587,324
  6. Step 6: Final answer
    x = 2,800,557.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.