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Finding the Third Proportional to 491,532 and 1,035,528

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Solution

The third proportional to 491,532 and 1,035,528 is: 2,181,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,532 : 1,035,528 = 1,035,528 : x
  2. Step 2: Convert to fraction form
    491,532/1,035,528 = 1,035,528/x
  3. Step 3: Cross multiply
    491,532x = 1,035,528 × 1,035,528
  4. Step 4: Simplify right side
    491,532x = 1,072,318,238,784
  5. Step 5: Solve for x
    x = 1,072,318,238,784/491,532
  6. Step 6: Final answer
    x = 2,181,583.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.