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Finding the Third Proportional to 583,617.66 and 1,254,419.16

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Solution

The third proportional to 583,617.66 and 1,254,419.16 is: 2,696,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,617.66 : 1,254,419.16 = 1,254,419.16 : x
  2. Step 2: Convert to fraction form
    583,617.66/1,254,419.16 = 1,254,419.16/x
  3. Step 3: Cross multiply
    583,617.66x = 1,254,419.16 × 1,254,419.16
  4. Step 4: Simplify right side
    583,617.66x = 1,573,567,419,566.96
  5. Step 5: Solve for x
    x = 1,573,567,419,566.96/583,617.66
  6. Step 6: Final answer
    x = 2,696,229.98

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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.