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Finding the Third Proportional to 748,468 and 1,145,154

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Solution

The third proportional to 748,468 and 1,145,154 is: 1,752,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,468 : 1,145,154 = 1,145,154 : x
  2. Step 2: Convert to fraction form
    748,468/1,145,154 = 1,145,154/x
  3. Step 3: Cross multiply
    748,468x = 1,145,154 × 1,145,154
  4. Step 4: Simplify right side
    748,468x = 1,311,377,683,716
  5. Step 5: Solve for x
    x = 1,311,377,683,716/748,468
  6. Step 6: Final answer
    x = 1,752,082.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.