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Finding the Third Proportional to 2,090,974 and 2,944,459

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Solution

The third proportional to 2,090,974 and 2,944,459 is: 4,146,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,974 : 2,944,459 = 2,944,459 : x
  2. Step 2: Convert to fraction form
    2,090,974/2,944,459 = 2,944,459/x
  3. Step 3: Cross multiply
    2,090,974x = 2,944,459 × 2,944,459
  4. Step 4: Simplify right side
    2,090,974x = 8,669,838,802,681
  5. Step 5: Solve for x
    x = 8,669,838,802,681/2,090,974
  6. Step 6: Final answer
    x = 4,146,315.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.