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Finding the Third Proportional to 1,012,864 and 1,574,592

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Solution

The third proportional to 1,012,864 and 1,574,592 is: 2,447,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,864 : 1,574,592 = 1,574,592 : x
  2. Step 2: Convert to fraction form
    1,012,864/1,574,592 = 1,574,592/x
  3. Step 3: Cross multiply
    1,012,864x = 1,574,592 × 1,574,592
  4. Step 4: Simplify right side
    1,012,864x = 2,479,339,966,464
  5. Step 5: Solve for x
    x = 2,479,339,966,464/1,012,864
  6. Step 6: Final answer
    x = 2,447,850.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.