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Finding the Third Proportional to 709,274 and 1,539,112

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Solution

The third proportional to 709,274 and 1,539,112 is: 3,339,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,274 : 1,539,112 = 1,539,112 : x
  2. Step 2: Convert to fraction form
    709,274/1,539,112 = 1,539,112/x
  3. Step 3: Cross multiply
    709,274x = 1,539,112 × 1,539,112
  4. Step 4: Simplify right side
    709,274x = 2,368,865,748,544
  5. Step 5: Solve for x
    x = 2,368,865,748,544/709,274
  6. Step 6: Final answer
    x = 3,339,845.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.