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Finding the Third Proportional to 408,748 and 898,146

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Solution

The third proportional to 408,748 and 898,146 is: 1,973,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,748 : 898,146 = 898,146 : x
  2. Step 2: Convert to fraction form
    408,748/898,146 = 898,146/x
  3. Step 3: Cross multiply
    408,748x = 898,146 × 898,146
  4. Step 4: Simplify right side
    408,748x = 806,666,237,316
  5. Step 5: Solve for x
    x = 806,666,237,316/408,748
  6. Step 6: Final answer
    x = 1,973,505.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.