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Finding the Third Proportional to 1,154,923.13 and 1,797,659.63

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Solution

The third proportional to 1,154,923.13 and 1,797,659.63 is: 2,798,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,923.13 : 1,797,659.63 = 1,797,659.63 : x
  2. Step 2: Convert to fraction form
    1,154,923.13/1,797,659.63 = 1,797,659.63/x
  3. Step 3: Cross multiply
    1,154,923.13x = 1,797,659.63 × 1,797,659.63
  4. Step 4: Simplify right side
    1,154,923.13x = 3,231,580,127,355.14
  5. Step 5: Solve for x
    x = 3,231,580,127,355.14/1,154,923.13
  6. Step 6: Final answer
    x = 2,798,091.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.