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Finding the Third Proportional to 411,926.63 and 868,140

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Solution

The third proportional to 411,926.63 and 868,140 is: 1,829,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,926.63 : 868,140 = 868,140 : x
  2. Step 2: Convert to fraction form
    411,926.63/868,140 = 868,140/x
  3. Step 3: Cross multiply
    411,926.63x = 868,140 × 868,140
  4. Step 4: Simplify right side
    411,926.63x = 753,667,059,600
  5. Step 5: Solve for x
    x = 753,667,059,600/411,926.63
  6. Step 6: Final answer
    x = 1,829,614.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.