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Finding the Third Proportional to 527,701 and 1,244,465

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Solution

The third proportional to 527,701 and 1,244,465 is: 2,934,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,701 : 1,244,465 = 1,244,465 : x
  2. Step 2: Convert to fraction form
    527,701/1,244,465 = 1,244,465/x
  3. Step 3: Cross multiply
    527,701x = 1,244,465 × 1,244,465
  4. Step 4: Simplify right side
    527,701x = 1,548,693,136,225
  5. Step 5: Solve for x
    x = 1,548,693,136,225/527,701
  6. Step 6: Final answer
    x = 2,934,792.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.