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Finding the Third Proportional to 417,024 and 893,097

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Solution

The third proportional to 417,024 and 893,097 is: 1,912,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,024 : 893,097 = 893,097 : x
  2. Step 2: Convert to fraction form
    417,024/893,097 = 893,097/x
  3. Step 3: Cross multiply
    417,024x = 893,097 × 893,097
  4. Step 4: Simplify right side
    417,024x = 797,622,251,409
  5. Step 5: Solve for x
    x = 797,622,251,409/417,024
  6. Step 6: Final answer
    x = 1,912,653.11

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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.