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Finding the Third Proportional to 2,968,941 and 4,913,226

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Solution

The third proportional to 2,968,941 and 4,913,226 is: 8,130,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968,941 : 4,913,226 = 4,913,226 : x
  2. Step 2: Convert to fraction form
    2,968,941/4,913,226 = 4,913,226/x
  3. Step 3: Cross multiply
    2,968,941x = 4,913,226 × 4,913,226
  4. Step 4: Simplify right side
    2,968,941x = 24,139,789,727,076
  5. Step 5: Solve for x
    x = 24,139,789,727,076/2,968,941
  6. Step 6: Final answer
    x = 8,130,774.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.