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Finding the Third Proportional to 1,032,500.25 and 2,214,462.38

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Solution

The third proportional to 1,032,500.25 and 2,214,462.38 is: 4,749,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,500.25 : 2,214,462.38 = 2,214,462.38 : x
  2. Step 2: Convert to fraction form
    1,032,500.25/2,214,462.38 = 2,214,462.38/x
  3. Step 3: Cross multiply
    1,032,500.25x = 2,214,462.38 × 2,214,462.38
  4. Step 4: Simplify right side
    1,032,500.25x = 4,903,843,610,290.64
  5. Step 5: Solve for x
    x = 4,903,843,610,290.64/1,032,500.25
  6. Step 6: Final answer
    x = 4,749,484.19

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