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Finding the Third Proportional to 1,829,005.88 and 4,020,010.88

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Solution

The third proportional to 1,829,005.88 and 4,020,010.88 is: 8,835,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,005.88 : 4,020,010.88 = 4,020,010.88 : x
  2. Step 2: Convert to fraction form
    1,829,005.88/4,020,010.88 = 4,020,010.88/x
  3. Step 3: Cross multiply
    1,829,005.88x = 4,020,010.88 × 4,020,010.88
  4. Step 4: Simplify right side
    1,829,005.88x = 16,160,487,435,118.27
  5. Step 5: Solve for x
    x = 16,160,487,435,118.27/1,829,005.88
  6. Step 6: Final answer
    x = 8,835,667.32

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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.