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Finding the Third Proportional to 1,295,844.75 and 1,918,262.25

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Solution

The third proportional to 1,295,844.75 and 1,918,262.25 is: 2,839,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,844.75 : 1,918,262.25 = 1,918,262.25 : x
  2. Step 2: Convert to fraction form
    1,295,844.75/1,918,262.25 = 1,918,262.25/x
  3. Step 3: Cross multiply
    1,295,844.75x = 1,918,262.25 × 1,918,262.25
  4. Step 4: Simplify right side
    1,295,844.75x = 3,679,730,059,775.06
  5. Step 5: Solve for x
    x = 3,679,730,059,775.06/1,295,844.75
  6. Step 6: Final answer
    x = 2,839,638.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.