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Finding the Third Proportional to 417,469 and 893,969

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Solution

The third proportional to 417,469 and 893,969 is: 1,914,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,469 : 893,969 = 893,969 : x
  2. Step 2: Convert to fraction form
    417,469/893,969 = 893,969/x
  3. Step 3: Cross multiply
    417,469x = 893,969 × 893,969
  4. Step 4: Simplify right side
    417,469x = 799,180,572,961
  5. Step 5: Solve for x
    x = 799,180,572,961/417,469
  6. Step 6: Final answer
    x = 1,914,347.11

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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.