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Finding the Third Proportional to 2,045,972 and 2,979,004

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Solution

The third proportional to 2,045,972 and 2,979,004 is: 4,337,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,972 : 2,979,004 = 2,979,004 : x
  2. Step 2: Convert to fraction form
    2,045,972/2,979,004 = 2,979,004/x
  3. Step 3: Cross multiply
    2,045,972x = 2,979,004 × 2,979,004
  4. Step 4: Simplify right side
    2,045,972x = 8,874,464,832,016
  5. Step 5: Solve for x
    x = 8,874,464,832,016/2,045,972
  6. Step 6: Final answer
    x = 4,337,529.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.