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Finding the Third Proportional to 749,648 and 1,068,399

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Solution

The third proportional to 749,648 and 1,068,399 is: 1,522,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,648 : 1,068,399 = 1,068,399 : x
  2. Step 2: Convert to fraction form
    749,648/1,068,399 = 1,068,399/x
  3. Step 3: Cross multiply
    749,648x = 1,068,399 × 1,068,399
  4. Step 4: Simplify right side
    749,648x = 1,141,476,423,201
  5. Step 5: Solve for x
    x = 1,141,476,423,201/749,648
  6. Step 6: Final answer
    x = 1,522,683.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.