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Finding the Third Proportional to 1,363,014 and 2,138,292

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Solution

The third proportional to 1,363,014 and 2,138,292 is: 3,354,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,014 : 2,138,292 = 2,138,292 : x
  2. Step 2: Convert to fraction form
    1,363,014/2,138,292 = 2,138,292/x
  3. Step 3: Cross multiply
    1,363,014x = 2,138,292 × 2,138,292
  4. Step 4: Simplify right side
    1,363,014x = 4,572,292,677,264
  5. Step 5: Solve for x
    x = 4,572,292,677,264/1,363,014
  6. Step 6: Final answer
    x = 3,354,545.64

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