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Finding the Third Proportional to 1,566,185 and 2,082,459

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Solution

The third proportional to 1,566,185 and 2,082,459 is: 2,768,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,185 : 2,082,459 = 2,082,459 : x
  2. Step 2: Convert to fraction form
    1,566,185/2,082,459 = 2,082,459/x
  3. Step 3: Cross multiply
    1,566,185x = 2,082,459 × 2,082,459
  4. Step 4: Simplify right side
    1,566,185x = 4,336,635,486,681
  5. Step 5: Solve for x
    x = 4,336,635,486,681/1,566,185
  6. Step 6: Final answer
    x = 2,768,916.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.