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Finding the Third Proportional to 1,361,778.75 and 2,948,999.63

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Solution

The third proportional to 1,361,778.75 and 2,948,999.63 is: 6,386,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361,778.75 : 2,948,999.63 = 2,948,999.63 : x
  2. Step 2: Convert to fraction form
    1,361,778.75/2,948,999.63 = 2,948,999.63/x
  3. Step 3: Cross multiply
    1,361,778.75x = 2,948,999.63 × 2,948,999.63
  4. Step 4: Simplify right side
    1,361,778.75x = 8,696,598,788,250.14
  5. Step 5: Solve for x
    x = 8,696,598,788,250.14/1,361,778.75
  6. Step 6: Final answer
    x = 6,386,205.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.