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Finding the Third Proportional to 527,272 and 1,244,168

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Solution

The third proportional to 527,272 and 1,244,168 is: 2,935,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,272 : 1,244,168 = 1,244,168 : x
  2. Step 2: Convert to fraction form
    527,272/1,244,168 = 1,244,168/x
  3. Step 3: Cross multiply
    527,272x = 1,244,168 × 1,244,168
  4. Step 4: Simplify right side
    527,272x = 1,547,954,012,224
  5. Step 5: Solve for x
    x = 1,547,954,012,224/527,272
  6. Step 6: Final answer
    x = 2,935,778.90

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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.