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Finding the Third Proportional to 488,114 and 1,000,014

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Solution

The third proportional to 488,114 and 1,000,014 is: 2,048,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,114 : 1,000,014 = 1,000,014 : x
  2. Step 2: Convert to fraction form
    488,114/1,000,014 = 1,000,014/x
  3. Step 3: Cross multiply
    488,114x = 1,000,014 × 1,000,014
  4. Step 4: Simplify right side
    488,114x = 1,000,028,000,196
  5. Step 5: Solve for x
    x = 1,000,028,000,196/488,114
  6. Step 6: Final answer
    x = 2,048,759.10

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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.