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Finding the Third Proportional to 416,654 and 896,596

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Solution

The third proportional to 416,654 and 896,596 is: 1,929,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,654 : 896,596 = 896,596 : x
  2. Step 2: Convert to fraction form
    416,654/896,596 = 896,596/x
  3. Step 3: Cross multiply
    416,654x = 896,596 × 896,596
  4. Step 4: Simplify right side
    416,654x = 803,884,387,216
  5. Step 5: Solve for x
    x = 803,884,387,216/416,654
  6. Step 6: Final answer
    x = 1,929,381.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.