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Finding the Third Proportional to 475,077 and 1,024,888

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Solution

The third proportional to 475,077 and 1,024,888 is: 2,211,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,077 : 1,024,888 = 1,024,888 : x
  2. Step 2: Convert to fraction form
    475,077/1,024,888 = 1,024,888/x
  3. Step 3: Cross multiply
    475,077x = 1,024,888 × 1,024,888
  4. Step 4: Simplify right side
    475,077x = 1,050,395,412,544
  5. Step 5: Solve for x
    x = 1,050,395,412,544/475,077
  6. Step 6: Final answer
    x = 2,211,000.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.