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Finding the Third Proportional to 1,727,952 and 2,432,277

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Solution

The third proportional to 1,727,952 and 2,432,277 is: 3,423,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,952 : 2,432,277 = 2,432,277 : x
  2. Step 2: Convert to fraction form
    1,727,952/2,432,277 = 2,432,277/x
  3. Step 3: Cross multiply
    1,727,952x = 2,432,277 × 2,432,277
  4. Step 4: Simplify right side
    1,727,952x = 5,915,971,404,729
  5. Step 5: Solve for x
    x = 5,915,971,404,729/1,727,952
  6. Step 6: Final answer
    x = 3,423,689.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.