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Finding the Third Proportional to 677,946 and 1,486,140

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Solution

The third proportional to 677,946 and 1,486,140 is: 3,257,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,946 : 1,486,140 = 1,486,140 : x
  2. Step 2: Convert to fraction form
    677,946/1,486,140 = 1,486,140/x
  3. Step 3: Cross multiply
    677,946x = 1,486,140 × 1,486,140
  4. Step 4: Simplify right side
    677,946x = 2,208,612,099,600
  5. Step 5: Solve for x
    x = 2,208,612,099,600/677,946
  6. Step 6: Final answer
    x = 3,257,799.44

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