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Finding the Third Proportional to 583,845 and 1,257,681

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Solution

The third proportional to 583,845 and 1,257,681 is: 2,709,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,845 : 1,257,681 = 1,257,681 : x
  2. Step 2: Convert to fraction form
    583,845/1,257,681 = 1,257,681/x
  3. Step 3: Cross multiply
    583,845x = 1,257,681 × 1,257,681
  4. Step 4: Simplify right side
    583,845x = 1,581,761,497,761
  5. Step 5: Solve for x
    x = 1,581,761,497,761/583,845
  6. Step 6: Final answer
    x = 2,709,214.77

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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.