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Finding the Third Proportional to 2,017,824.75 and 2,949,139.13

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Solution

The third proportional to 2,017,824.75 and 2,949,139.13 is: 4,310,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017,824.75 : 2,949,139.13 = 2,949,139.13 : x
  2. Step 2: Convert to fraction form
    2,017,824.75/2,949,139.13 = 2,949,139.13/x
  3. Step 3: Cross multiply
    2,017,824.75x = 2,949,139.13 × 2,949,139.13
  4. Step 4: Simplify right side
    2,017,824.75x = 8,697,421,578,605.77
  5. Step 5: Solve for x
    x = 8,697,421,578,605.77/2,017,824.75
  6. Step 6: Final answer
    x = 4,310,295.82

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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.