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Finding the Third Proportional to 802,983 and 1,182,290.25

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Solution

The third proportional to 802,983 and 1,182,290.25 is: 1,740,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,983 : 1,182,290.25 = 1,182,290.25 : x
  2. Step 2: Convert to fraction form
    802,983/1,182,290.25 = 1,182,290.25/x
  3. Step 3: Cross multiply
    802,983x = 1,182,290.25 × 1,182,290.25
  4. Step 4: Simplify right side
    802,983x = 1,397,810,235,245.06
  5. Step 5: Solve for x
    x = 1,397,810,235,245.06/802,983
  6. Step 6: Final answer
    x = 1,740,771.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.