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Finding the Third Proportional to 1,012,515.19 and 1,478,791.69

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Solution

The third proportional to 1,012,515.19 and 1,478,791.69 is: 2,159,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,515.19 : 1,478,791.69 = 1,478,791.69 : x
  2. Step 2: Convert to fraction form
    1,012,515.19/1,478,791.69 = 1,478,791.69/x
  3. Step 3: Cross multiply
    1,012,515.19x = 1,478,791.69 × 1,478,791.69
  4. Step 4: Simplify right side
    1,012,515.19x = 2,186,824,855,019.10
  5. Step 5: Solve for x
    x = 2,186,824,855,019.10/1,012,515.19
  6. Step 6: Final answer
    x = 2,159,794.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.