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Finding the Third Proportional to 571,412 and 1,244,414

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Solution

The third proportional to 571,412 and 1,244,414 is: 2,710,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,412 : 1,244,414 = 1,244,414 : x
  2. Step 2: Convert to fraction form
    571,412/1,244,414 = 1,244,414/x
  3. Step 3: Cross multiply
    571,412x = 1,244,414 × 1,244,414
  4. Step 4: Simplify right side
    571,412x = 1,548,566,203,396
  5. Step 5: Solve for x
    x = 1,548,566,203,396/571,412
  6. Step 6: Final answer
    x = 2,710,069.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.