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Finding the Third Proportional to 416,484 and 897,768

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Solution

The third proportional to 416,484 and 897,768 is: 1,935,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,484 : 897,768 = 897,768 : x
  2. Step 2: Convert to fraction form
    416,484/897,768 = 897,768/x
  3. Step 3: Cross multiply
    416,484x = 897,768 × 897,768
  4. Step 4: Simplify right side
    416,484x = 805,987,381,824
  5. Step 5: Solve for x
    x = 805,987,381,824/416,484
  6. Step 6: Final answer
    x = 1,935,218.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.