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Finding the Third Proportional to 806,940 and 1,130,907

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Solution

The third proportional to 806,940 and 1,130,907 is: 1,584,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,940 : 1,130,907 = 1,130,907 : x
  2. Step 2: Convert to fraction form
    806,940/1,130,907 = 1,130,907/x
  3. Step 3: Cross multiply
    806,940x = 1,130,907 × 1,130,907
  4. Step 4: Simplify right side
    806,940x = 1,278,950,642,649
  5. Step 5: Solve for x
    x = 1,278,950,642,649/806,940
  6. Step 6: Final answer
    x = 1,584,938.96

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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.