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Finding the Third Proportional to 521,709 and 1,099,461

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Solution

The third proportional to 521,709 and 1,099,461 is: 2,317,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,709 : 1,099,461 = 1,099,461 : x
  2. Step 2: Convert to fraction form
    521,709/1,099,461 = 1,099,461/x
  3. Step 3: Cross multiply
    521,709x = 1,099,461 × 1,099,461
  4. Step 4: Simplify right side
    521,709x = 1,208,814,490,521
  5. Step 5: Solve for x
    x = 1,208,814,490,521/521,709
  6. Step 6: Final answer
    x = 2,317,028.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.