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Finding the Third Proportional to 417,430 and 893,890

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Solution

The third proportional to 417,430 and 893,890 is: 1,914,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,430 : 893,890 = 893,890 : x
  2. Step 2: Convert to fraction form
    417,430/893,890 = 893,890/x
  3. Step 3: Cross multiply
    417,430x = 893,890 × 893,890
  4. Step 4: Simplify right side
    417,430x = 799,039,332,100
  5. Step 5: Solve for x
    x = 799,039,332,100/417,430
  6. Step 6: Final answer
    x = 1,914,187.61

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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.