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Finding the Third Proportional to 2,798,107.50 and 6,024,309

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Solution

The third proportional to 2,798,107.50 and 6,024,309 is: 12,970,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798,107.50 : 6,024,309 = 6,024,309 : x
  2. Step 2: Convert to fraction form
    2,798,107.50/6,024,309 = 6,024,309/x
  3. Step 3: Cross multiply
    2,798,107.50x = 6,024,309 × 6,024,309
  4. Step 4: Simplify right side
    2,798,107.50x = 36,292,298,927,481
  5. Step 5: Solve for x
    x = 36,292,298,927,481/2,798,107.50
  6. Step 6: Final answer
    x = 12,970,301.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.