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Finding the Third Proportional to 3,746,966 and 5,354,228

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Solution

The third proportional to 3,746,966 and 5,354,228 is: 7,650,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746,966 : 5,354,228 = 5,354,228 : x
  2. Step 2: Convert to fraction form
    3,746,966/5,354,228 = 5,354,228/x
  3. Step 3: Cross multiply
    3,746,966x = 5,354,228 × 5,354,228
  4. Step 4: Simplify right side
    3,746,966x = 28,667,757,475,984
  5. Step 5: Solve for x
    x = 28,667,757,475,984/3,746,966
  6. Step 6: Final answer
    x = 7,650,925.44

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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.