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Finding the Third Proportional to 602,892 and 906,066

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Solution

The third proportional to 602,892 and 906,066 is: 1,361,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,892 : 906,066 = 906,066 : x
  2. Step 2: Convert to fraction form
    602,892/906,066 = 906,066/x
  3. Step 3: Cross multiply
    602,892x = 906,066 × 906,066
  4. Step 4: Simplify right side
    602,892x = 820,955,596,356
  5. Step 5: Solve for x
    x = 820,955,596,356/602,892
  6. Step 6: Final answer
    x = 1,361,695.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.