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Finding the Third Proportional to 966,945 and 2,094,594

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Solution

The third proportional to 966,945 and 2,094,594 is: 4,537,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,945 : 2,094,594 = 2,094,594 : x
  2. Step 2: Convert to fraction form
    966,945/2,094,594 = 2,094,594/x
  3. Step 3: Cross multiply
    966,945x = 2,094,594 × 2,094,594
  4. Step 4: Simplify right side
    966,945x = 4,387,324,024,836
  5. Step 5: Solve for x
    x = 4,387,324,024,836/966,945
  6. Step 6: Final answer
    x = 4,537,304.63

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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.