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Finding the Third Proportional to 4,212,856 and 6,356,364

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Solution

The third proportional to 4,212,856 and 6,356,364 is: 9,590,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,856 : 6,356,364 = 6,356,364 : x
  2. Step 2: Convert to fraction form
    4,212,856/6,356,364 = 6,356,364/x
  3. Step 3: Cross multiply
    4,212,856x = 6,356,364 × 6,356,364
  4. Step 4: Simplify right side
    4,212,856x = 40,403,363,300,496
  5. Step 5: Solve for x
    x = 40,403,363,300,496/4,212,856
  6. Step 6: Final answer
    x = 9,590,492.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.