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Finding the Third Proportional to 749,981 and 1,161,584

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Solution

The third proportional to 749,981 and 1,161,584 is: 1,799,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,981 : 1,161,584 = 1,161,584 : x
  2. Step 2: Convert to fraction form
    749,981/1,161,584 = 1,161,584/x
  3. Step 3: Cross multiply
    749,981x = 1,161,584 × 1,161,584
  4. Step 4: Simplify right side
    749,981x = 1,349,277,389,056
  5. Step 5: Solve for x
    x = 1,349,277,389,056/749,981
  6. Step 6: Final answer
    x = 1,799,082.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.