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Finding the Third Proportional to 407,934 and 897,417

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Solution

The third proportional to 407,934 and 897,417 is: 1,974,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,934 : 897,417 = 897,417 : x
  2. Step 2: Convert to fraction form
    407,934/897,417 = 897,417/x
  3. Step 3: Cross multiply
    407,934x = 897,417 × 897,417
  4. Step 4: Simplify right side
    407,934x = 805,357,271,889
  5. Step 5: Solve for x
    x = 805,357,271,889/407,934
  6. Step 6: Final answer
    x = 1,974,234.24

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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.