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Finding the Third Proportional to 571,410 and 1,228,815

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Solution

The third proportional to 571,410 and 1,228,815 is: 2,642,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,410 : 1,228,815 = 1,228,815 : x
  2. Step 2: Convert to fraction form
    571,410/1,228,815 = 1,228,815/x
  3. Step 3: Cross multiply
    571,410x = 1,228,815 × 1,228,815
  4. Step 4: Simplify right side
    571,410x = 1,509,986,304,225
  5. Step 5: Solve for x
    x = 1,509,986,304,225/571,410
  6. Step 6: Final answer
    x = 2,642,561.92

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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.