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Finding the Third Proportional to 1,469,248 and 3,220,160

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Solution

The third proportional to 1,469,248 and 3,220,160 is: 7,057,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,248 : 3,220,160 = 3,220,160 : x
  2. Step 2: Convert to fraction form
    1,469,248/3,220,160 = 3,220,160/x
  3. Step 3: Cross multiply
    1,469,248x = 3,220,160 × 3,220,160
  4. Step 4: Simplify right side
    1,469,248x = 10,369,430,425,600
  5. Step 5: Solve for x
    x = 10,369,430,425,600/1,469,248
  6. Step 6: Final answer
    x = 7,057,644.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.