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Finding the Third Proportional to 1,298,187 and 2,832,570

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Solution

The third proportional to 1,298,187 and 2,832,570 is: 6,180,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,187 : 2,832,570 = 2,832,570 : x
  2. Step 2: Convert to fraction form
    1,298,187/2,832,570 = 2,832,570/x
  3. Step 3: Cross multiply
    1,298,187x = 2,832,570 × 2,832,570
  4. Step 4: Simplify right side
    1,298,187x = 8,023,452,804,900
  5. Step 5: Solve for x
    x = 8,023,452,804,900/1,298,187
  6. Step 6: Final answer
    x = 6,180,506.20

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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.