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Finding the Third Proportional to 527,680 and 1,152,136

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Solution

The third proportional to 527,680 and 1,152,136 is: 2,515,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,680 : 1,152,136 = 1,152,136 : x
  2. Step 2: Convert to fraction form
    527,680/1,152,136 = 1,152,136/x
  3. Step 3: Cross multiply
    527,680x = 1,152,136 × 1,152,136
  4. Step 4: Simplify right side
    527,680x = 1,327,417,362,496
  5. Step 5: Solve for x
    x = 1,327,417,362,496/527,680
  6. Step 6: Final answer
    x = 2,515,572.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.