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Finding the Third Proportional to 1,458,350 and 2,282,511

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Solution

The third proportional to 1,458,350 and 2,282,511 is: 3,572,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,350 : 2,282,511 = 2,282,511 : x
  2. Step 2: Convert to fraction form
    1,458,350/2,282,511 = 2,282,511/x
  3. Step 3: Cross multiply
    1,458,350x = 2,282,511 × 2,282,511
  4. Step 4: Simplify right side
    1,458,350x = 5,209,856,465,121
  5. Step 5: Solve for x
    x = 5,209,856,465,121/1,458,350
  6. Step 6: Final answer
    x = 3,572,432.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.