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Finding the Third Proportional to 1,578,291 and 3,478,314

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Solution

The third proportional to 1,578,291 and 3,478,314 is: 7,665,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,291 : 3,478,314 = 3,478,314 : x
  2. Step 2: Convert to fraction form
    1,578,291/3,478,314 = 3,478,314/x
  3. Step 3: Cross multiply
    1,578,291x = 3,478,314 × 3,478,314
  4. Step 4: Simplify right side
    1,578,291x = 12,098,668,282,596
  5. Step 5: Solve for x
    x = 12,098,668,282,596/1,578,291
  6. Step 6: Final answer
    x = 7,665,676.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.