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Finding the Third Proportional to 1,849,419 and 2,901,923

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Solution

The third proportional to 1,849,419 and 2,901,923 is: 4,553,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,419 : 2,901,923 = 2,901,923 : x
  2. Step 2: Convert to fraction form
    1,849,419/2,901,923 = 2,901,923/x
  3. Step 3: Cross multiply
    1,849,419x = 2,901,923 × 2,901,923
  4. Step 4: Simplify right side
    1,849,419x = 8,421,157,097,929
  5. Step 5: Solve for x
    x = 8,421,157,097,929/1,849,419
  6. Step 6: Final answer
    x = 4,553,406.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.