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Finding the Third Proportional to 781,326 and 1,658,576

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Solution

The third proportional to 781,326 and 1,658,576 is: 3,520,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,326 : 1,658,576 = 1,658,576 : x
  2. Step 2: Convert to fraction form
    781,326/1,658,576 = 1,658,576/x
  3. Step 3: Cross multiply
    781,326x = 1,658,576 × 1,658,576
  4. Step 4: Simplify right side
    781,326x = 2,750,874,347,776
  5. Step 5: Solve for x
    x = 2,750,874,347,776/781,326
  6. Step 6: Final answer
    x = 3,520,776.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.