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Finding the Third Proportional to 411,077 and 896,660

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Solution

The third proportional to 411,077 and 896,660 is: 1,955,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,077 : 896,660 = 896,660 : x
  2. Step 2: Convert to fraction form
    411,077/896,660 = 896,660/x
  3. Step 3: Cross multiply
    411,077x = 896,660 × 896,660
  4. Step 4: Simplify right side
    411,077x = 803,999,155,600
  5. Step 5: Solve for x
    x = 803,999,155,600/411,077
  6. Step 6: Final answer
    x = 1,955,835.90

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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.