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Finding the Third Proportional to 542,414 and 1,166,461

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Solution

The third proportional to 542,414 and 1,166,461 is: 2,508,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,414 : 1,166,461 = 1,166,461 : x
  2. Step 2: Convert to fraction form
    542,414/1,166,461 = 1,166,461/x
  3. Step 3: Cross multiply
    542,414x = 1,166,461 × 1,166,461
  4. Step 4: Simplify right side
    542,414x = 1,360,631,264,521
  5. Step 5: Solve for x
    x = 1,360,631,264,521/542,414
  6. Step 6: Final answer
    x = 2,508,473.72

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Why These Related Problems?

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