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Finding the Third Proportional to 966,960 and 2,094,624

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Solution

The third proportional to 966,960 and 2,094,624 is: 4,537,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,960 : 2,094,624 = 2,094,624 : x
  2. Step 2: Convert to fraction form
    966,960/2,094,624 = 2,094,624/x
  3. Step 3: Cross multiply
    966,960x = 2,094,624 × 2,094,624
  4. Step 4: Simplify right side
    966,960x = 4,387,449,701,376
  5. Step 5: Solve for x
    x = 4,387,449,701,376/966,960
  6. Step 6: Final answer
    x = 4,537,364.22

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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.