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Finding the Third Proportional to 786,165.75 and 1,185,769.13

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Solution

The third proportional to 786,165.75 and 1,185,769.13 is: 1,788,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,165.75 : 1,185,769.13 = 1,185,769.13 : x
  2. Step 2: Convert to fraction form
    786,165.75/1,185,769.13 = 1,185,769.13/x
  3. Step 3: Cross multiply
    786,165.75x = 1,185,769.13 × 1,185,769.13
  4. Step 4: Simplify right side
    786,165.75x = 1,406,048,417,803.27
  5. Step 5: Solve for x
    x = 1,406,048,417,803.27/786,165.75
  6. Step 6: Final answer
    x = 1,788,488.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.