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Finding the Third Proportional to 581,601 and 1,254,858

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Solution

The third proportional to 581,601 and 1,254,858 is: 2,707,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,601 : 1,254,858 = 1,254,858 : x
  2. Step 2: Convert to fraction form
    581,601/1,254,858 = 1,254,858/x
  3. Step 3: Cross multiply
    581,601x = 1,254,858 × 1,254,858
  4. Step 4: Simplify right side
    581,601x = 1,574,668,600,164
  5. Step 5: Solve for x
    x = 1,574,668,600,164/581,601
  6. Step 6: Final answer
    x = 2,707,472.31

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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.