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Finding the Third Proportional to 475,128 and 1,008,558

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Solution

The third proportional to 475,128 and 1,008,558 is: 2,140,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,128 : 1,008,558 = 1,008,558 : x
  2. Step 2: Convert to fraction form
    475,128/1,008,558 = 1,008,558/x
  3. Step 3: Cross multiply
    475,128x = 1,008,558 × 1,008,558
  4. Step 4: Simplify right side
    475,128x = 1,017,189,239,364
  5. Step 5: Solve for x
    x = 1,017,189,239,364/475,128
  6. Step 6: Final answer
    x = 2,140,874.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.