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Finding the Third Proportional to 1,220,898 and 2,645,180

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Solution

The third proportional to 1,220,898 and 2,645,180 is: 5,731,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,898 : 2,645,180 = 2,645,180 : x
  2. Step 2: Convert to fraction form
    1,220,898/2,645,180 = 2,645,180/x
  3. Step 3: Cross multiply
    1,220,898x = 2,645,180 × 2,645,180
  4. Step 4: Simplify right side
    1,220,898x = 6,996,977,232,400
  5. Step 5: Solve for x
    x = 6,996,977,232,400/1,220,898
  6. Step 6: Final answer
    x = 5,731,008.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.