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Finding the Third Proportional to 581,970 and 1,255,686

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Solution

The third proportional to 581,970 and 1,255,686 is: 2,709,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,970 : 1,255,686 = 1,255,686 : x
  2. Step 2: Convert to fraction form
    581,970/1,255,686 = 1,255,686/x
  3. Step 3: Cross multiply
    581,970x = 1,255,686 × 1,255,686
  4. Step 4: Simplify right side
    581,970x = 1,576,747,330,596
  5. Step 5: Solve for x
    x = 1,576,747,330,596/581,970
  6. Step 6: Final answer
    x = 2,709,327.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.