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Finding the Third Proportional to 745,686 and 1,166,511.38

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Solution

The third proportional to 745,686 and 1,166,511.38 is: 1,824,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,686 : 1,166,511.38 = 1,166,511.38 : x
  2. Step 2: Convert to fraction form
    745,686/1,166,511.38 = 1,166,511.38/x
  3. Step 3: Cross multiply
    745,686x = 1,166,511.38 × 1,166,511.38
  4. Step 4: Simplify right side
    745,686x = 1,360,748,788,004.39
  5. Step 5: Solve for x
    x = 1,360,748,788,004.39/745,686
  6. Step 6: Final answer
    x = 1,824,828.13

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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.