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Finding the Third Proportional to 654,769.13 and 1,010,190.38

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Solution

The third proportional to 654,769.13 and 1,010,190.38 is: 1,558,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,769.13 : 1,010,190.38 = 1,010,190.38 : x
  2. Step 2: Convert to fraction form
    654,769.13/1,010,190.38 = 1,010,190.38/x
  3. Step 3: Cross multiply
    654,769.13x = 1,010,190.38 × 1,010,190.38
  4. Step 4: Simplify right side
    654,769.13x = 1,020,484,593,742.64
  5. Step 5: Solve for x
    x = 1,020,484,593,742.64/654,769.13
  6. Step 6: Final answer
    x = 1,558,541.10

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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.