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Finding the Third Proportional to 2,799,922 and 6,142,220

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Solution

The third proportional to 2,799,922 and 6,142,220 is: 13,474,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799,922 : 6,142,220 = 6,142,220 : x
  2. Step 2: Convert to fraction form
    2,799,922/6,142,220 = 6,142,220/x
  3. Step 3: Cross multiply
    2,799,922x = 6,142,220 × 6,142,220
  4. Step 4: Simplify right side
    2,799,922x = 37,726,866,528,400
  5. Step 5: Solve for x
    x = 37,726,866,528,400/2,799,922
  6. Step 6: Final answer
    x = 13,474,256.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.