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Finding the Third Proportional to 2,727,924 and 4,546,348

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Solution

The third proportional to 2,727,924 and 4,546,348 is: 7,576,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727,924 : 4,546,348 = 4,546,348 : x
  2. Step 2: Convert to fraction form
    2,727,924/4,546,348 = 4,546,348/x
  3. Step 3: Cross multiply
    2,727,924x = 4,546,348 × 4,546,348
  4. Step 4: Simplify right side
    2,727,924x = 20,669,280,137,104
  5. Step 5: Solve for x
    x = 20,669,280,137,104/2,727,924
  6. Step 6: Final answer
    x = 7,576,926.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.