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Finding the Third Proportional to 745,886 and 1,147,146

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Solution

The third proportional to 745,886 and 1,147,146 is: 1,764,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,886 : 1,147,146 = 1,147,146 : x
  2. Step 2: Convert to fraction form
    745,886/1,147,146 = 1,147,146/x
  3. Step 3: Cross multiply
    745,886x = 1,147,146 × 1,147,146
  4. Step 4: Simplify right side
    745,886x = 1,315,943,945,316
  5. Step 5: Solve for x
    x = 1,315,943,945,316/745,886
  6. Step 6: Final answer
    x = 1,764,269.53

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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.