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Finding the Third Proportional to 2,342,184 and 3,493,776

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Solution

The third proportional to 2,342,184 and 3,493,776 is: 5,211,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342,184 : 3,493,776 = 3,493,776 : x
  2. Step 2: Convert to fraction form
    2,342,184/3,493,776 = 3,493,776/x
  3. Step 3: Cross multiply
    2,342,184x = 3,493,776 × 3,493,776
  4. Step 4: Simplify right side
    2,342,184x = 12,206,470,738,176
  5. Step 5: Solve for x
    x = 12,206,470,738,176/2,342,184
  6. Step 6: Final answer
    x = 5,211,576.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.