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Finding the Third Proportional to 664,227 and 1,057,428

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Solution

The third proportional to 664,227 and 1,057,428 is: 1,683,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,227 : 1,057,428 = 1,057,428 : x
  2. Step 2: Convert to fraction form
    664,227/1,057,428 = 1,057,428/x
  3. Step 3: Cross multiply
    664,227x = 1,057,428 × 1,057,428
  4. Step 4: Simplify right side
    664,227x = 1,118,153,975,184
  5. Step 5: Solve for x
    x = 1,118,153,975,184/664,227
  6. Step 6: Final answer
    x = 1,683,391.33

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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.