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Finding the Third Proportional to 2,172,926 and 3,102,789

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Solution

The third proportional to 2,172,926 and 3,102,789 is: 4,430,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,926 : 3,102,789 = 3,102,789 : x
  2. Step 2: Convert to fraction form
    2,172,926/3,102,789 = 3,102,789/x
  3. Step 3: Cross multiply
    2,172,926x = 3,102,789 × 3,102,789
  4. Step 4: Simplify right side
    2,172,926x = 9,627,299,578,521
  5. Step 5: Solve for x
    x = 9,627,299,578,521/2,172,926
  6. Step 6: Final answer
    x = 4,430,569.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.