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Finding the Third Proportional to 414,484 and 887,772

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Solution

The third proportional to 414,484 and 887,772 is: 1,901,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,484 : 887,772 = 887,772 : x
  2. Step 2: Convert to fraction form
    414,484/887,772 = 887,772/x
  3. Step 3: Cross multiply
    414,484x = 887,772 × 887,772
  4. Step 4: Simplify right side
    414,484x = 788,139,123,984
  5. Step 5: Solve for x
    x = 788,139,123,984/414,484
  6. Step 6: Final answer
    x = 1,901,494.69

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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.