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Finding the Third Proportional to 583,733 and 1,278,184

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Solution

The third proportional to 583,733 and 1,278,184 is: 2,798,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,733 : 1,278,184 = 1,278,184 : x
  2. Step 2: Convert to fraction form
    583,733/1,278,184 = 1,278,184/x
  3. Step 3: Cross multiply
    583,733x = 1,278,184 × 1,278,184
  4. Step 4: Simplify right side
    583,733x = 1,633,754,337,856
  5. Step 5: Solve for x
    x = 1,633,754,337,856/583,733
  6. Step 6: Final answer
    x = 2,798,804.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.