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Finding the Third Proportional to 506,426 and 801,922

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Solution

The third proportional to 506,426 and 801,922 is: 1,269,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,426 : 801,922 = 801,922 : x
  2. Step 2: Convert to fraction form
    506,426/801,922 = 801,922/x
  3. Step 3: Cross multiply
    506,426x = 801,922 × 801,922
  4. Step 4: Simplify right side
    506,426x = 643,078,894,084
  5. Step 5: Solve for x
    x = 643,078,894,084/506,426
  6. Step 6: Final answer
    x = 1,269,837.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.