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Finding the Third Proportional to 730,971 and 1,125,002.25

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Solution

The third proportional to 730,971 and 1,125,002.25 is: 1,731,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,971 : 1,125,002.25 = 1,125,002.25 : x
  2. Step 2: Convert to fraction form
    730,971/1,125,002.25 = 1,125,002.25/x
  3. Step 3: Cross multiply
    730,971x = 1,125,002.25 × 1,125,002.25
  4. Step 4: Simplify right side
    730,971x = 1,265,630,062,505.06
  5. Step 5: Solve for x
    x = 1,265,630,062,505.06/730,971
  6. Step 6: Final answer
    x = 1,731,436.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.