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Finding the Third Proportional to 1,561,386 and 2,329,125

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Solution

The third proportional to 1,561,386 and 2,329,125 is: 3,474,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,386 : 2,329,125 = 2,329,125 : x
  2. Step 2: Convert to fraction form
    1,561,386/2,329,125 = 2,329,125/x
  3. Step 3: Cross multiply
    1,561,386x = 2,329,125 × 2,329,125
  4. Step 4: Simplify right side
    1,561,386x = 5,424,823,265,625
  5. Step 5: Solve for x
    x = 5,424,823,265,625/1,561,386
  6. Step 6: Final answer
    x = 3,474,363.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.