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Finding the Third Proportional to 905,521 and 1,225,419

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Solution

The third proportional to 905,521 and 1,225,419 is: 1,658,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,521 : 1,225,419 = 1,225,419 : x
  2. Step 2: Convert to fraction form
    905,521/1,225,419 = 1,225,419/x
  3. Step 3: Cross multiply
    905,521x = 1,225,419 × 1,225,419
  4. Step 4: Simplify right side
    905,521x = 1,501,651,725,561
  5. Step 5: Solve for x
    x = 1,501,651,725,561/905,521
  6. Step 6: Final answer
    x = 1,658,328.99

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