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Finding the Third Proportional to 417,432 and 893,894

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Solution

The third proportional to 417,432 and 893,894 is: 1,914,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,432 : 893,894 = 893,894 : x
  2. Step 2: Convert to fraction form
    417,432/893,894 = 893,894/x
  3. Step 3: Cross multiply
    417,432x = 893,894 × 893,894
  4. Step 4: Simplify right side
    417,432x = 799,046,483,236
  5. Step 5: Solve for x
    x = 799,046,483,236/417,432
  6. Step 6: Final answer
    x = 1,914,195.57

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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.