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Finding the Third Proportional to 411,059.18 and 896,818.08

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Solution

The third proportional to 411,059.18 and 896,818.08 is: 1,956,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,059.18 : 896,818.08 = 896,818.08 : x
  2. Step 2: Convert to fraction form
    411,059.18/896,818.08 = 896,818.08/x
  3. Step 3: Cross multiply
    411,059.18x = 896,818.08 × 896,818.08
  4. Step 4: Simplify right side
    411,059.18x = 804,282,665,251.82
  5. Step 5: Solve for x
    x = 804,282,665,251.82/411,059.18
  6. Step 6: Final answer
    x = 1,956,610.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.