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Finding the Third Proportional to 567,994.23 and 1,215,777.65

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Solution

The third proportional to 567,994.23 and 1,215,777.65 is: 2,602,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,994.23 : 1,215,777.65 = 1,215,777.65 : x
  2. Step 2: Convert to fraction form
    567,994.23/1,215,777.65 = 1,215,777.65/x
  3. Step 3: Cross multiply
    567,994.23x = 1,215,777.65 × 1,215,777.65
  4. Step 4: Simplify right side
    567,994.23x = 1,478,115,288,065.56
  5. Step 5: Solve for x
    x = 1,478,115,288,065.56/567,994.23
  6. Step 6: Final answer
    x = 2,602,342.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.