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Finding the Third Proportional to 583,514 and 1,256,310

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Solution

The third proportional to 583,514 and 1,256,310 is: 2,704,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,514 : 1,256,310 = 1,256,310 : x
  2. Step 2: Convert to fraction form
    583,514/1,256,310 = 1,256,310/x
  3. Step 3: Cross multiply
    583,514x = 1,256,310 × 1,256,310
  4. Step 4: Simplify right side
    583,514x = 1,578,314,816,100
  5. Step 5: Solve for x
    x = 1,578,314,816,100/583,514
  6. Step 6: Final answer
    x = 2,704,844.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.