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Finding the Third Proportional to 605,892 and 938,130

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Solution

The third proportional to 605,892 and 938,130 is: 1,452,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,892 : 938,130 = 938,130 : x
  2. Step 2: Convert to fraction form
    605,892/938,130 = 938,130/x
  3. Step 3: Cross multiply
    605,892x = 938,130 × 938,130
  4. Step 4: Simplify right side
    605,892x = 880,087,896,900
  5. Step 5: Solve for x
    x = 880,087,896,900/605,892
  6. Step 6: Final answer
    x = 1,452,549.13

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Why These Related Problems?

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