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Finding the Third Proportional to 583,837.88 and 1,282,695.75

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Solution

The third proportional to 583,837.88 and 1,282,695.75 is: 2,818,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,837.88 : 1,282,695.75 = 1,282,695.75 : x
  2. Step 2: Convert to fraction form
    583,837.88/1,282,695.75 = 1,282,695.75/x
  3. Step 3: Cross multiply
    583,837.88x = 1,282,695.75 × 1,282,695.75
  4. Step 4: Simplify right side
    583,837.88x = 1,645,308,387,068.06
  5. Step 5: Solve for x
    x = 1,645,308,387,068.06/583,837.88
  6. Step 6: Final answer
    x = 2,818,091.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.