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Finding the Third Proportional to 417,007 and 893,063

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Solution

The third proportional to 417,007 and 893,063 is: 1,912,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,007 : 893,063 = 893,063 : x
  2. Step 2: Convert to fraction form
    417,007/893,063 = 893,063/x
  3. Step 3: Cross multiply
    417,007x = 893,063 × 893,063
  4. Step 4: Simplify right side
    417,007x = 797,561,521,969
  5. Step 5: Solve for x
    x = 797,561,521,969/417,007
  6. Step 6: Final answer
    x = 1,912,585.45

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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.