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Finding the Third Proportional to 1,032,499.41 and 2,214,462.80

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Solution

The third proportional to 1,032,499.41 and 2,214,462.80 is: 4,749,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,499.41 : 2,214,462.80 = 2,214,462.80 : x
  2. Step 2: Convert to fraction form
    1,032,499.41/2,214,462.80 = 2,214,462.80/x
  3. Step 3: Cross multiply
    1,032,499.41x = 2,214,462.80 × 2,214,462.80
  4. Step 4: Simplify right side
    1,032,499.41x = 4,903,845,478,743.45
  5. Step 5: Solve for x
    x = 4,903,845,478,743.45/1,032,499.41
  6. Step 6: Final answer
    x = 4,749,489.88

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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.