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Finding the Third Proportional to 498,549 and 1,088,466

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Solution

The third proportional to 498,549 and 1,088,466 is: 2,376,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,549 : 1,088,466 = 1,088,466 : x
  2. Step 2: Convert to fraction form
    498,549/1,088,466 = 1,088,466/x
  3. Step 3: Cross multiply
    498,549x = 1,088,466 × 1,088,466
  4. Step 4: Simplify right side
    498,549x = 1,184,758,233,156
  5. Step 5: Solve for x
    x = 1,184,758,233,156/498,549
  6. Step 6: Final answer
    x = 2,376,412.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.