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Finding the Third Proportional to 666,476 and 1,005,582

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Solution

The third proportional to 666,476 and 1,005,582 is: 1,517,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,476 : 1,005,582 = 1,005,582 : x
  2. Step 2: Convert to fraction form
    666,476/1,005,582 = 1,005,582/x
  3. Step 3: Cross multiply
    666,476x = 1,005,582 × 1,005,582
  4. Step 4: Simplify right side
    666,476x = 1,011,195,158,724
  5. Step 5: Solve for x
    x = 1,011,195,158,724/666,476
  6. Step 6: Final answer
    x = 1,517,226.66

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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.