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Finding the Third Proportional to 583,836 and 1,257,708

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Solution

The third proportional to 583,836 and 1,257,708 is: 2,709,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,836 : 1,257,708 = 1,257,708 : x
  2. Step 2: Convert to fraction form
    583,836/1,257,708 = 1,257,708/x
  3. Step 3: Cross multiply
    583,836x = 1,257,708 × 1,257,708
  4. Step 4: Simplify right side
    583,836x = 1,581,829,413,264
  5. Step 5: Solve for x
    x = 1,581,829,413,264/583,836
  6. Step 6: Final answer
    x = 2,709,372.86

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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.