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Finding the Third Proportional to 4,703,216 and 6,873,349

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Solution

The third proportional to 4,703,216 and 6,873,349 is: 10,044,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703,216 : 6,873,349 = 6,873,349 : x
  2. Step 2: Convert to fraction form
    4,703,216/6,873,349 = 6,873,349/x
  3. Step 3: Cross multiply
    4,703,216x = 6,873,349 × 6,873,349
  4. Step 4: Simplify right side
    4,703,216x = 47,242,926,475,801
  5. Step 5: Solve for x
    x = 47,242,926,475,801/4,703,216
  6. Step 6: Final answer
    x = 10,044,813.27

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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.