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Finding the Third Proportional to 745,356 and 1,609,080

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Solution

The third proportional to 745,356 and 1,609,080 is: 3,473,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,356 : 1,609,080 = 1,609,080 : x
  2. Step 2: Convert to fraction form
    745,356/1,609,080 = 1,609,080/x
  3. Step 3: Cross multiply
    745,356x = 1,609,080 × 1,609,080
  4. Step 4: Simplify right side
    745,356x = 2,589,138,446,400
  5. Step 5: Solve for x
    x = 2,589,138,446,400/745,356
  6. Step 6: Final answer
    x = 3,473,693.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.