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Finding the Third Proportional to 664,214 and 1,057,413

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Solution

The third proportional to 664,214 and 1,057,413 is: 1,683,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,214 : 1,057,413 = 1,057,413 : x
  2. Step 2: Convert to fraction form
    664,214/1,057,413 = 1,057,413/x
  3. Step 3: Cross multiply
    664,214x = 1,057,413 × 1,057,413
  4. Step 4: Simplify right side
    664,214x = 1,118,122,252,569
  5. Step 5: Solve for x
    x = 1,118,122,252,569/664,214
  6. Step 6: Final answer
    x = 1,683,376.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.