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Finding the Third Proportional to 1,931,184 and 2,921,616

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Solution

The third proportional to 1,931,184 and 2,921,616 is: 4,420,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,184 : 2,921,616 = 2,921,616 : x
  2. Step 2: Convert to fraction form
    1,931,184/2,921,616 = 2,921,616/x
  3. Step 3: Cross multiply
    1,931,184x = 2,921,616 × 2,921,616
  4. Step 4: Simplify right side
    1,931,184x = 8,535,840,051,456
  5. Step 5: Solve for x
    x = 8,535,840,051,456/1,931,184
  6. Step 6: Final answer
    x = 4,420,003.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.