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Finding the Third Proportional to 410,748 and 898,797

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Solution

The third proportional to 410,748 and 898,797 is: 1,966,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,748 : 898,797 = 898,797 : x
  2. Step 2: Convert to fraction form
    410,748/898,797 = 898,797/x
  3. Step 3: Cross multiply
    410,748x = 898,797 × 898,797
  4. Step 4: Simplify right side
    410,748x = 807,836,047,209
  5. Step 5: Solve for x
    x = 807,836,047,209/410,748
  6. Step 6: Final answer
    x = 1,966,743.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.