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Finding the Third Proportional to 718,324 and 1,571,269

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Solution

The third proportional to 718,324 and 1,571,269 is: 3,437,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,324 : 1,571,269 = 1,571,269 : x
  2. Step 2: Convert to fraction form
    718,324/1,571,269 = 1,571,269/x
  3. Step 3: Cross multiply
    718,324x = 1,571,269 × 1,571,269
  4. Step 4: Simplify right side
    718,324x = 2,468,886,270,361
  5. Step 5: Solve for x
    x = 2,468,886,270,361/718,324
  6. Step 6: Final answer
    x = 3,437,009.30

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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.