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Finding the Third Proportional to 698,907 and 1,081,576

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Solution

The third proportional to 698,907 and 1,081,576 is: 1,673,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,907 : 1,081,576 = 1,081,576 : x
  2. Step 2: Convert to fraction form
    698,907/1,081,576 = 1,081,576/x
  3. Step 3: Cross multiply
    698,907x = 1,081,576 × 1,081,576
  4. Step 4: Simplify right side
    698,907x = 1,169,806,643,776
  5. Step 5: Solve for x
    x = 1,169,806,643,776/698,907
  6. Step 6: Final answer
    x = 1,673,765.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.