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Finding the Third Proportional to 752,258 and 1,099,560

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Solution

The third proportional to 752,258 and 1,099,560 is: 1,607,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,258 : 1,099,560 = 1,099,560 : x
  2. Step 2: Convert to fraction form
    752,258/1,099,560 = 1,099,560/x
  3. Step 3: Cross multiply
    752,258x = 1,099,560 × 1,099,560
  4. Step 4: Simplify right side
    752,258x = 1,209,032,193,600
  5. Step 5: Solve for x
    x = 1,209,032,193,600/752,258
  6. Step 6: Final answer
    x = 1,607,204.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.