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Finding the Third Proportional to 591,054 and 1,255,764

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Solution

The third proportional to 591,054 and 1,255,764 is: 2,668,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,054 : 1,255,764 = 1,255,764 : x
  2. Step 2: Convert to fraction form
    591,054/1,255,764 = 1,255,764/x
  3. Step 3: Cross multiply
    591,054x = 1,255,764 × 1,255,764
  4. Step 4: Simplify right side
    591,054x = 1,576,943,223,696
  5. Step 5: Solve for x
    x = 1,576,943,223,696/591,054
  6. Step 6: Final answer
    x = 2,668,018.87

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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.