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Finding the Third Proportional to 946,512 and 2,053,566

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Solution

The third proportional to 946,512 and 2,053,566 is: 4,455,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,512 : 2,053,566 = 2,053,566 : x
  2. Step 2: Convert to fraction form
    946,512/2,053,566 = 2,053,566/x
  3. Step 3: Cross multiply
    946,512x = 2,053,566 × 2,053,566
  4. Step 4: Simplify right side
    946,512x = 4,217,133,316,356
  5. Step 5: Solve for x
    x = 4,217,133,316,356/946,512
  6. Step 6: Final answer
    x = 4,455,446.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.