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Finding the Third Proportional to 527,707.13 and 1,029,166.88

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Solution

The third proportional to 527,707.13 and 1,029,166.88 is: 2,007,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,707.13 : 1,029,166.88 = 1,029,166.88 : x
  2. Step 2: Convert to fraction form
    527,707.13/1,029,166.88 = 1,029,166.88/x
  3. Step 3: Cross multiply
    527,707.13x = 1,029,166.88 × 1,029,166.88
  4. Step 4: Simplify right side
    527,707.13x = 1,059,184,456,597.27
  5. Step 5: Solve for x
    x = 1,059,184,456,597.27/527,707.13
  6. Step 6: Final answer
    x = 2,007,144.51

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.