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Finding the Third Proportional to 1,712,144.25 and 3,615,165

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Solution

The third proportional to 1,712,144.25 and 3,615,165 is: 7,633,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712,144.25 : 3,615,165 = 3,615,165 : x
  2. Step 2: Convert to fraction form
    1,712,144.25/3,615,165 = 3,615,165/x
  3. Step 3: Cross multiply
    1,712,144.25x = 3,615,165 × 3,615,165
  4. Step 4: Simplify right side
    1,712,144.25x = 13,069,417,977,225
  5. Step 5: Solve for x
    x = 13,069,417,977,225/1,712,144.25
  6. Step 6: Final answer
    x = 7,633,362.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.