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Finding the Third Proportional to 745,038 and 1,609,170

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Solution

The third proportional to 745,038 and 1,609,170 is: 3,475,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,038 : 1,609,170 = 1,609,170 : x
  2. Step 2: Convert to fraction form
    745,038/1,609,170 = 1,609,170/x
  3. Step 3: Cross multiply
    745,038x = 1,609,170 × 1,609,170
  4. Step 4: Simplify right side
    745,038x = 2,589,428,088,900
  5. Step 5: Solve for x
    x = 2,589,428,088,900/745,038
  6. Step 6: Final answer
    x = 3,475,565.12

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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.