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Finding the Third Proportional to 2,930,742 and 4,426,737.75

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Solution

The third proportional to 2,930,742 and 4,426,737.75 is: 6,686,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930,742 : 4,426,737.75 = 4,426,737.75 : x
  2. Step 2: Convert to fraction form
    2,930,742/4,426,737.75 = 4,426,737.75/x
  3. Step 3: Cross multiply
    2,930,742x = 4,426,737.75 × 4,426,737.75
  4. Step 4: Simplify right side
    2,930,742x = 19,596,007,107,275.06
  5. Step 5: Solve for x
    x = 19,596,007,107,275.06/2,930,742
  6. Step 6: Final answer
    x = 6,686,363.76

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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.