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Finding the Third Proportional to 806,933 and 1,130,898

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Solution

The third proportional to 806,933 and 1,130,898 is: 1,584,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,933 : 1,130,898 = 1,130,898 : x
  2. Step 2: Convert to fraction form
    806,933/1,130,898 = 1,130,898/x
  3. Step 3: Cross multiply
    806,933x = 1,130,898 × 1,130,898
  4. Step 4: Simplify right side
    806,933x = 1,278,930,286,404
  5. Step 5: Solve for x
    x = 1,278,930,286,404/806,933
  6. Step 6: Final answer
    x = 1,584,927.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.