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Finding the Third Proportional to 460,641.52 and 996,734.53

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Solution

The third proportional to 460,641.52 and 996,734.53 is: 2,156,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,641.52 : 996,734.53 = 996,734.53 : x
  2. Step 2: Convert to fraction form
    460,641.52/996,734.53 = 996,734.53/x
  3. Step 3: Cross multiply
    460,641.52x = 996,734.53 × 996,734.53
  4. Step 4: Simplify right side
    460,641.52x = 993,479,725,786.16
  5. Step 5: Solve for x
    x = 993,479,725,786.16/460,641.52
  6. Step 6: Final answer
    x = 2,156,730.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.