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Finding the Third Proportional to 417,470 and 893,971

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Solution

The third proportional to 417,470 and 893,971 is: 1,914,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,470 : 893,971 = 893,971 : x
  2. Step 2: Convert to fraction form
    417,470/893,971 = 893,971/x
  3. Step 3: Cross multiply
    417,470x = 893,971 × 893,971
  4. Step 4: Simplify right side
    417,470x = 799,184,148,841
  5. Step 5: Solve for x
    x = 799,184,148,841/417,470
  6. Step 6: Final answer
    x = 1,914,351.09

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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.