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Finding the Third Proportional to 966,824 and 2,073,544

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Solution

The third proportional to 966,824 and 2,073,544 is: 4,447,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,824 : 2,073,544 = 2,073,544 : x
  2. Step 2: Convert to fraction form
    966,824/2,073,544 = 2,073,544/x
  3. Step 3: Cross multiply
    966,824x = 2,073,544 × 2,073,544
  4. Step 4: Simplify right side
    966,824x = 4,299,584,719,936
  5. Step 5: Solve for x
    x = 4,299,584,719,936/966,824
  6. Step 6: Final answer
    x = 4,447,122.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.