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Finding the Third Proportional to 732,096 and 1,604,160

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Solution

The third proportional to 732,096 and 1,604,160 is: 3,515,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,096 : 1,604,160 = 1,604,160 : x
  2. Step 2: Convert to fraction form
    732,096/1,604,160 = 1,604,160/x
  3. Step 3: Cross multiply
    732,096x = 1,604,160 × 1,604,160
  4. Step 4: Simplify right side
    732,096x = 2,573,329,305,600
  5. Step 5: Solve for x
    x = 2,573,329,305,600/732,096
  6. Step 6: Final answer
    x = 3,515,016.21

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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.