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Finding the Third Proportional to 430,317 and 909,882

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Solution

The third proportional to 430,317 and 909,882 is: 1,923,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,317 : 909,882 = 909,882 : x
  2. Step 2: Convert to fraction form
    430,317/909,882 = 909,882/x
  3. Step 3: Cross multiply
    430,317x = 909,882 × 909,882
  4. Step 4: Simplify right side
    430,317x = 827,885,253,924
  5. Step 5: Solve for x
    x = 827,885,253,924/430,317
  6. Step 6: Final answer
    x = 1,923,896.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.