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Finding the Third Proportional to 664,252 and 1,057,465

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Solution

The third proportional to 664,252 and 1,057,465 is: 1,683,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,252 : 1,057,465 = 1,057,465 : x
  2. Step 2: Convert to fraction form
    664,252/1,057,465 = 1,057,465/x
  3. Step 3: Cross multiply
    664,252x = 1,057,465 × 1,057,465
  4. Step 4: Simplify right side
    664,252x = 1,118,232,226,225
  5. Step 5: Solve for x
    x = 1,118,232,226,225/664,252
  6. Step 6: Final answer
    x = 1,683,445.78

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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.