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Finding the Third Proportional to 674,342 and 1,444,870

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Solution

The third proportional to 674,342 and 1,444,870 is: 3,095,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,342 : 1,444,870 = 1,444,870 : x
  2. Step 2: Convert to fraction form
    674,342/1,444,870 = 1,444,870/x
  3. Step 3: Cross multiply
    674,342x = 1,444,870 × 1,444,870
  4. Step 4: Simplify right side
    674,342x = 2,087,649,316,900
  5. Step 5: Solve for x
    x = 2,087,649,316,900/674,342
  6. Step 6: Final answer
    x = 3,095,831.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.