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Finding the Third Proportional to 508,478 and 1,094,792

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Solution

The third proportional to 508,478 and 1,094,792 is: 2,357,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,478 : 1,094,792 = 1,094,792 : x
  2. Step 2: Convert to fraction form
    508,478/1,094,792 = 1,094,792/x
  3. Step 3: Cross multiply
    508,478x = 1,094,792 × 1,094,792
  4. Step 4: Simplify right side
    508,478x = 1,198,569,523,264
  5. Step 5: Solve for x
    x = 1,198,569,523,264/508,478
  6. Step 6: Final answer
    x = 2,357,170.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.