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Finding the Third Proportional to 1,220,864 and 1,867,584

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Solution

The third proportional to 1,220,864 and 1,867,584 is: 2,856,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,864 : 1,867,584 = 1,867,584 : x
  2. Step 2: Convert to fraction form
    1,220,864/1,867,584 = 1,867,584/x
  3. Step 3: Cross multiply
    1,220,864x = 1,867,584 × 1,867,584
  4. Step 4: Simplify right side
    1,220,864x = 3,487,869,997,056
  5. Step 5: Solve for x
    x = 3,487,869,997,056/1,220,864
  6. Step 6: Final answer
    x = 2,856,886.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.