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Finding the Third Proportional to 486,814 and 1,048,526

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Solution

The third proportional to 486,814 and 1,048,526 is: 2,258,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,814 : 1,048,526 = 1,048,526 : x
  2. Step 2: Convert to fraction form
    486,814/1,048,526 = 1,048,526/x
  3. Step 3: Cross multiply
    486,814x = 1,048,526 × 1,048,526
  4. Step 4: Simplify right side
    486,814x = 1,099,406,772,676
  5. Step 5: Solve for x
    x = 1,099,406,772,676/486,814
  6. Step 6: Final answer
    x = 2,258,371.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.