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Finding the Third Proportional to 932,823.75 and 1,977,748.50

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Solution

The third proportional to 932,823.75 and 1,977,748.50 is: 4,193,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,823.75 : 1,977,748.50 = 1,977,748.50 : x
  2. Step 2: Convert to fraction form
    932,823.75/1,977,748.50 = 1,977,748.50/x
  3. Step 3: Cross multiply
    932,823.75x = 1,977,748.50 × 1,977,748.50
  4. Step 4: Simplify right side
    932,823.75x = 3,911,489,129,252.25
  5. Step 5: Solve for x
    x = 3,911,489,129,252.25/932,823.75
  6. Step 6: Final answer
    x = 4,193,170.61

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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.