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Finding the Third Proportional to 2,369,740 and 3,386,358

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Solution

The third proportional to 2,369,740 and 3,386,358 is: 4,839,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,740 : 3,386,358 = 3,386,358 : x
  2. Step 2: Convert to fraction form
    2,369,740/3,386,358 = 3,386,358/x
  3. Step 3: Cross multiply
    2,369,740x = 3,386,358 × 3,386,358
  4. Step 4: Simplify right side
    2,369,740x = 11,467,420,504,164
  5. Step 5: Solve for x
    x = 11,467,420,504,164/2,369,740
  6. Step 6: Final answer
    x = 4,839,104.92

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Why These Related Problems?

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