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Finding the Third Proportional to 932,833.50 and 1,977,767

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Solution

The third proportional to 932,833.50 and 1,977,767 is: 4,193,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,833.50 : 1,977,767 = 1,977,767 : x
  2. Step 2: Convert to fraction form
    932,833.50/1,977,767 = 1,977,767/x
  3. Step 3: Cross multiply
    932,833.50x = 1,977,767 × 1,977,767
  4. Step 4: Simplify right side
    932,833.50x = 3,911,562,306,289
  5. Step 5: Solve for x
    x = 3,911,562,306,289/932,833.50
  6. Step 6: Final answer
    x = 4,193,205.23

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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.