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Finding the Third Proportional to 720,100 and 1,575,812

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Solution

The third proportional to 720,100 and 1,575,812 is: 3,448,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,100 : 1,575,812 = 1,575,812 : x
  2. Step 2: Convert to fraction form
    720,100/1,575,812 = 1,575,812/x
  3. Step 3: Cross multiply
    720,100x = 1,575,812 × 1,575,812
  4. Step 4: Simplify right side
    720,100x = 2,483,183,459,344
  5. Step 5: Solve for x
    x = 2,483,183,459,344/720,100
  6. Step 6: Final answer
    x = 3,448,386.97

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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.