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Finding the Third Proportional to 1,144,351 and 1,681,494

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Solution

The third proportional to 1,144,351 and 1,681,494 is: 2,470,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,351 : 1,681,494 = 1,681,494 : x
  2. Step 2: Convert to fraction form
    1,144,351/1,681,494 = 1,681,494/x
  3. Step 3: Cross multiply
    1,144,351x = 1,681,494 × 1,681,494
  4. Step 4: Simplify right side
    1,144,351x = 2,827,422,072,036
  5. Step 5: Solve for x
    x = 2,827,422,072,036/1,144,351
  6. Step 6: Final answer
    x = 2,470,764.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.