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Finding the Third Proportional to 2,032,056 and 4,478,791.50

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Solution

The third proportional to 2,032,056 and 4,478,791.50 is: 9,871,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,056 : 4,478,791.50 = 4,478,791.50 : x
  2. Step 2: Convert to fraction form
    2,032,056/4,478,791.50 = 4,478,791.50/x
  3. Step 3: Cross multiply
    2,032,056x = 4,478,791.50 × 4,478,791.50
  4. Step 4: Simplify right side
    2,032,056x = 20,059,573,300,472.25
  5. Step 5: Solve for x
    x = 20,059,573,300,472.25/2,032,056
  6. Step 6: Final answer
    x = 9,871,565.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.