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Finding the Third Proportional to 827,451 and 1,286,527

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Solution

The third proportional to 827,451 and 1,286,527 is: 2,000,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,451 : 1,286,527 = 1,286,527 : x
  2. Step 2: Convert to fraction form
    827,451/1,286,527 = 1,286,527/x
  3. Step 3: Cross multiply
    827,451x = 1,286,527 × 1,286,527
  4. Step 4: Simplify right side
    827,451x = 1,655,151,721,729
  5. Step 5: Solve for x
    x = 1,655,151,721,729/827,451
  6. Step 6: Final answer
    x = 2,000,301.80

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