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Finding the Third Proportional to 972,240 and 1,521,684

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Solution

The third proportional to 972,240 and 1,521,684 is: 2,381,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,240 : 1,521,684 = 1,521,684 : x
  2. Step 2: Convert to fraction form
    972,240/1,521,684 = 1,521,684/x
  3. Step 3: Cross multiply
    972,240x = 1,521,684 × 1,521,684
  4. Step 4: Simplify right side
    972,240x = 2,315,522,195,856
  5. Step 5: Solve for x
    x = 2,315,522,195,856/972,240
  6. Step 6: Final answer
    x = 2,381,636.42

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.