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Finding the Third Proportional to 1,663,920 and 2,377,784

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Solution

The third proportional to 1,663,920 and 2,377,784 is: 3,397,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,920 : 2,377,784 = 2,377,784 : x
  2. Step 2: Convert to fraction form
    1,663,920/2,377,784 = 2,377,784/x
  3. Step 3: Cross multiply
    1,663,920x = 2,377,784 × 2,377,784
  4. Step 4: Simplify right side
    1,663,920x = 5,653,856,750,656
  5. Step 5: Solve for x
    x = 5,653,856,750,656/1,663,920
  6. Step 6: Final answer
    x = 3,397,913.81

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.