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Finding the Third Proportional to 480,138 and 1,048,863

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Solution

The third proportional to 480,138 and 1,048,863 is: 2,291,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,138 : 1,048,863 = 1,048,863 : x
  2. Step 2: Convert to fraction form
    480,138/1,048,863 = 1,048,863/x
  3. Step 3: Cross multiply
    480,138x = 1,048,863 × 1,048,863
  4. Step 4: Simplify right side
    480,138x = 1,100,113,592,769
  5. Step 5: Solve for x
    x = 1,100,113,592,769/480,138
  6. Step 6: Final answer
    x = 2,291,244.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.