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Finding the Third Proportional to 905,472 and 1,225,344

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Solution

The third proportional to 905,472 and 1,225,344 is: 1,658,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,472 : 1,225,344 = 1,225,344 : x
  2. Step 2: Convert to fraction form
    905,472/1,225,344 = 1,225,344/x
  3. Step 3: Cross multiply
    905,472x = 1,225,344 × 1,225,344
  4. Step 4: Simplify right side
    905,472x = 1,501,467,918,336
  5. Step 5: Solve for x
    x = 1,501,467,918,336/905,472
  6. Step 6: Final answer
    x = 1,658,215.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.