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Finding the Third Proportional to 666,427.50 and 1,005,534

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Solution

The third proportional to 666,427.50 and 1,005,534 is: 1,517,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,427.50 : 1,005,534 = 1,005,534 : x
  2. Step 2: Convert to fraction form
    666,427.50/1,005,534 = 1,005,534/x
  3. Step 3: Cross multiply
    666,427.50x = 1,005,534 × 1,005,534
  4. Step 4: Simplify right side
    666,427.50x = 1,011,098,625,156
  5. Step 5: Solve for x
    x = 1,011,098,625,156/666,427.50
  6. Step 6: Final answer
    x = 1,517,192.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.