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Finding the Third Proportional to 913,260 and 1,432,584

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Solution

The third proportional to 913,260 and 1,432,584 is: 2,247,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,260 : 1,432,584 = 1,432,584 : x
  2. Step 2: Convert to fraction form
    913,260/1,432,584 = 1,432,584/x
  3. Step 3: Cross multiply
    913,260x = 1,432,584 × 1,432,584
  4. Step 4: Simplify right side
    913,260x = 2,052,296,917,056
  5. Step 5: Solve for x
    x = 2,052,296,917,056/913,260
  6. Step 6: Final answer
    x = 2,247,220.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.