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Finding the Third Proportional to 2,968,935 and 4,913,219.25

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Solution

The third proportional to 2,968,935 and 4,913,219.25 is: 8,130,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968,935 : 4,913,219.25 = 4,913,219.25 : x
  2. Step 2: Convert to fraction form
    2,968,935/4,913,219.25 = 4,913,219.25/x
  3. Step 3: Cross multiply
    2,968,935x = 4,913,219.25 × 4,913,219.25
  4. Step 4: Simplify right side
    2,968,935x = 24,139,723,398,570.56
  5. Step 5: Solve for x
    x = 24,139,723,398,570.56/2,968,935
  6. Step 6: Final answer
    x = 8,130,768.57

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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.