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Finding the Third Proportional to 727,648 and 1,574,864

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Solution

The third proportional to 727,648 and 1,574,864 is: 3,408,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,648 : 1,574,864 = 1,574,864 : x
  2. Step 2: Convert to fraction form
    727,648/1,574,864 = 1,574,864/x
  3. Step 3: Cross multiply
    727,648x = 1,574,864 × 1,574,864
  4. Step 4: Simplify right side
    727,648x = 2,480,196,618,496
  5. Step 5: Solve for x
    x = 2,480,196,618,496/727,648
  6. Step 6: Final answer
    x = 3,408,511.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.