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Finding the Third Proportional to 406,908 and 883,867.50

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Solution

The third proportional to 406,908 and 883,867.50 is: 1,919,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,908 : 883,867.50 = 883,867.50 : x
  2. Step 2: Convert to fraction form
    406,908/883,867.50 = 883,867.50/x
  3. Step 3: Cross multiply
    406,908x = 883,867.50 × 883,867.50
  4. Step 4: Simplify right side
    406,908x = 781,221,757,556.25
  5. Step 5: Solve for x
    x = 781,221,757,556.25/406,908
  6. Step 6: Final answer
    x = 1,919,897.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.