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Finding the Third Proportional to 601,548 and 1,252,854

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Solution

The third proportional to 601,548 and 1,252,854 is: 2,609,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,548 : 1,252,854 = 1,252,854 : x
  2. Step 2: Convert to fraction form
    601,548/1,252,854 = 1,252,854/x
  3. Step 3: Cross multiply
    601,548x = 1,252,854 × 1,252,854
  4. Step 4: Simplify right side
    601,548x = 1,569,643,145,316
  5. Step 5: Solve for x
    x = 1,569,643,145,316/601,548
  6. Step 6: Final answer
    x = 2,609,339.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.