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Finding the Third Proportional to 637,374 and 978,344

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Solution

The third proportional to 637,374 and 978,344 is: 1,501,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,374 : 978,344 = 978,344 : x
  2. Step 2: Convert to fraction form
    637,374/978,344 = 978,344/x
  3. Step 3: Cross multiply
    637,374x = 978,344 × 978,344
  4. Step 4: Simplify right side
    637,374x = 957,156,982,336
  5. Step 5: Solve for x
    x = 957,156,982,336/637,374
  6. Step 6: Final answer
    x = 1,501,719.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.