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Finding the Third Proportional to 417,050 and 893,152

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Solution

The third proportional to 417,050 and 893,152 is: 1,912,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,050 : 893,152 = 893,152 : x
  2. Step 2: Convert to fraction form
    417,050/893,152 = 893,152/x
  3. Step 3: Cross multiply
    417,050x = 893,152 × 893,152
  4. Step 4: Simplify right side
    417,050x = 797,720,495,104
  5. Step 5: Solve for x
    x = 797,720,495,104/417,050
  6. Step 6: Final answer
    x = 1,912,769.44

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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.