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Finding the Third Proportional to 417,465 and 893,961

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Solution

The third proportional to 417,465 and 893,961 is: 1,914,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,465 : 893,961 = 893,961 : x
  2. Step 2: Convert to fraction form
    417,465/893,961 = 893,961/x
  3. Step 3: Cross multiply
    417,465x = 893,961 × 893,961
  4. Step 4: Simplify right side
    417,465x = 799,166,269,521
  5. Step 5: Solve for x
    x = 799,166,269,521/417,465
  6. Step 6: Final answer
    x = 1,914,331.19

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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.