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Finding the Third Proportional to 1,298,189 and 2,832,574

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Solution

The third proportional to 1,298,189 and 2,832,574 is: 6,180,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,189 : 2,832,574 = 2,832,574 : x
  2. Step 2: Convert to fraction form
    1,298,189/2,832,574 = 2,832,574/x
  3. Step 3: Cross multiply
    1,298,189x = 2,832,574 × 2,832,574
  4. Step 4: Simplify right side
    1,298,189x = 8,023,475,465,476
  5. Step 5: Solve for x
    x = 8,023,475,465,476/1,298,189
  6. Step 6: Final answer
    x = 6,180,514.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.