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Finding the Third Proportional to 571,920 and 1,232,484

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Solution

The third proportional to 571,920 and 1,232,484 is: 2,655,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,920 : 1,232,484 = 1,232,484 : x
  2. Step 2: Convert to fraction form
    571,920/1,232,484 = 1,232,484/x
  3. Step 3: Cross multiply
    571,920x = 1,232,484 × 1,232,484
  4. Step 4: Simplify right side
    571,920x = 1,519,016,810,256
  5. Step 5: Solve for x
    x = 1,519,016,810,256/571,920
  6. Step 6: Final answer
    x = 2,655,995.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.