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Finding the Third Proportional to 914,484 and 1,233,594

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Solution

The third proportional to 914,484 and 1,233,594 is: 1,664,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,484 : 1,233,594 = 1,233,594 : x
  2. Step 2: Convert to fraction form
    914,484/1,233,594 = 1,233,594/x
  3. Step 3: Cross multiply
    914,484x = 1,233,594 × 1,233,594
  4. Step 4: Simplify right side
    914,484x = 1,521,754,156,836
  5. Step 5: Solve for x
    x = 1,521,754,156,836/914,484
  6. Step 6: Final answer
    x = 1,664,057.72

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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.