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Finding the Third Proportional to 910,944 and 1,447,517

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Solution

The third proportional to 910,944 and 1,447,517 is: 2,300,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,944 : 1,447,517 = 1,447,517 : x
  2. Step 2: Convert to fraction form
    910,944/1,447,517 = 1,447,517/x
  3. Step 3: Cross multiply
    910,944x = 1,447,517 × 1,447,517
  4. Step 4: Simplify right side
    910,944x = 2,095,305,465,289
  5. Step 5: Solve for x
    x = 2,095,305,465,289/910,944
  6. Step 6: Final answer
    x = 2,300,147.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.