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Finding the Third Proportional to 605,513 and 1,427,360

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Solution

The third proportional to 605,513 and 1,427,360 is: 3,364,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,513 : 1,427,360 = 1,427,360 : x
  2. Step 2: Convert to fraction form
    605,513/1,427,360 = 1,427,360/x
  3. Step 3: Cross multiply
    605,513x = 1,427,360 × 1,427,360
  4. Step 4: Simplify right side
    605,513x = 2,037,356,569,600
  5. Step 5: Solve for x
    x = 2,037,356,569,600/605,513
  6. Step 6: Final answer
    x = 3,364,678.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.