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Finding the Third Proportional to 2,564,208 and 3,986,292

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Solution

The third proportional to 2,564,208 and 3,986,292 is: 6,197,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,208 : 3,986,292 = 3,986,292 : x
  2. Step 2: Convert to fraction form
    2,564,208/3,986,292 = 3,986,292/x
  3. Step 3: Cross multiply
    2,564,208x = 3,986,292 × 3,986,292
  4. Step 4: Simplify right side
    2,564,208x = 15,890,523,909,264
  5. Step 5: Solve for x
    x = 15,890,523,909,264/2,564,208
  6. Step 6: Final answer
    x = 6,197,049.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.