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Finding the Third Proportional to 1,998,829 and 2,923,566

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Solution

The third proportional to 1,998,829 and 2,923,566 is: 4,276,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998,829 : 2,923,566 = 2,923,566 : x
  2. Step 2: Convert to fraction form
    1,998,829/2,923,566 = 2,923,566/x
  3. Step 3: Cross multiply
    1,998,829x = 2,923,566 × 2,923,566
  4. Step 4: Simplify right side
    1,998,829x = 8,547,238,156,356
  5. Step 5: Solve for x
    x = 8,547,238,156,356/1,998,829
  6. Step 6: Final answer
    x = 4,276,122.75

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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.