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Finding the Third Proportional to 1,977,384 and 4,317,216

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Solution

The third proportional to 1,977,384 and 4,317,216 is: 9,425,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,384 : 4,317,216 = 4,317,216 : x
  2. Step 2: Convert to fraction form
    1,977,384/4,317,216 = 4,317,216/x
  3. Step 3: Cross multiply
    1,977,384x = 4,317,216 × 4,317,216
  4. Step 4: Simplify right side
    1,977,384x = 18,638,353,990,656
  5. Step 5: Solve for x
    x = 18,638,353,990,656/1,977,384
  6. Step 6: Final answer
    x = 9,425,763.53

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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.