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Finding the Third Proportional to 1,245,062.25 and 1,831,988.25

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Solution

The third proportional to 1,245,062.25 and 1,831,988.25 is: 2,695,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,062.25 : 1,831,988.25 = 1,831,988.25 : x
  2. Step 2: Convert to fraction form
    1,245,062.25/1,831,988.25 = 1,831,988.25/x
  3. Step 3: Cross multiply
    1,245,062.25x = 1,831,988.25 × 1,831,988.25
  4. Step 4: Simplify right side
    1,245,062.25x = 3,356,180,948,138.06
  5. Step 5: Solve for x
    x = 3,356,180,948,138.06/1,245,062.25
  6. Step 6: Final answer
    x = 2,695,592.89

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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.