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Finding the Third Proportional to 932,775.75 and 1,977,647.25

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Solution

The third proportional to 932,775.75 and 1,977,647.25 is: 4,192,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,775.75 : 1,977,647.25 = 1,977,647.25 : x
  2. Step 2: Convert to fraction form
    932,775.75/1,977,647.25 = 1,977,647.25/x
  3. Step 3: Cross multiply
    932,775.75x = 1,977,647.25 × 1,977,647.25
  4. Step 4: Simplify right side
    932,775.75x = 3,911,088,645,432.56
  5. Step 5: Solve for x
    x = 3,911,088,645,432.56/932,775.75
  6. Step 6: Final answer
    x = 4,192,957.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.