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Finding the Third Proportional to 1,386,086 and 2,073,486

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Solution

The third proportional to 1,386,086 and 2,073,486 is: 3,101,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,086 : 2,073,486 = 2,073,486 : x
  2. Step 2: Convert to fraction form
    1,386,086/2,073,486 = 2,073,486/x
  3. Step 3: Cross multiply
    1,386,086x = 2,073,486 × 2,073,486
  4. Step 4: Simplify right side
    1,386,086x = 4,299,344,192,196
  5. Step 5: Solve for x
    x = 4,299,344,192,196/1,386,086
  6. Step 6: Final answer
    x = 3,101,787.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.