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Finding the Third Proportional to 488,112 and 1,000,009

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Solution

The third proportional to 488,112 and 1,000,009 is: 2,048,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,112 : 1,000,009 = 1,000,009 : x
  2. Step 2: Convert to fraction form
    488,112/1,000,009 = 1,000,009/x
  3. Step 3: Cross multiply
    488,112x = 1,000,009 × 1,000,009
  4. Step 4: Simplify right side
    488,112x = 1,000,018,000,081
  5. Step 5: Solve for x
    x = 1,000,018,000,081/488,112
  6. Step 6: Final answer
    x = 2,048,747.01

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.