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Finding the Third Proportional to 718,322 and 1,571,265

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Solution

The third proportional to 718,322 and 1,571,265 is: 3,437,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,322 : 1,571,265 = 1,571,265 : x
  2. Step 2: Convert to fraction form
    718,322/1,571,265 = 1,571,265/x
  3. Step 3: Cross multiply
    718,322x = 1,571,265 × 1,571,265
  4. Step 4: Simplify right side
    718,322x = 2,468,873,700,225
  5. Step 5: Solve for x
    x = 2,468,873,700,225/718,322
  6. Step 6: Final answer
    x = 3,437,001.37

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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.