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Finding the Third Proportional to 2,807,846 and 4,106,465

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Solution

The third proportional to 2,807,846 and 4,106,465 is: 6,005,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,846 : 4,106,465 = 4,106,465 : x
  2. Step 2: Convert to fraction form
    2,807,846/4,106,465 = 4,106,465/x
  3. Step 3: Cross multiply
    2,807,846x = 4,106,465 × 4,106,465
  4. Step 4: Simplify right side
    2,807,846x = 16,863,054,796,225
  5. Step 5: Solve for x
    x = 16,863,054,796,225/2,807,846
  6. Step 6: Final answer
    x = 6,005,690.77

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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.