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Finding the Third Proportional to 605,688 and 1,317,432

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Solution

The third proportional to 605,688 and 1,317,432 is: 2,865,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,688 : 1,317,432 = 1,317,432 : x
  2. Step 2: Convert to fraction form
    605,688/1,317,432 = 1,317,432/x
  3. Step 3: Cross multiply
    605,688x = 1,317,432 × 1,317,432
  4. Step 4: Simplify right side
    605,688x = 1,735,627,074,624
  5. Step 5: Solve for x
    x = 1,735,627,074,624/605,688
  6. Step 6: Final answer
    x = 2,865,546.41

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Why These Related Problems?

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