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Finding the Third Proportional to 2,219,646 and 3,323,391

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Solution

The third proportional to 2,219,646 and 3,323,391 is: 4,975,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,646 : 3,323,391 = 3,323,391 : x
  2. Step 2: Convert to fraction form
    2,219,646/3,323,391 = 3,323,391/x
  3. Step 3: Cross multiply
    2,219,646x = 3,323,391 × 3,323,391
  4. Step 4: Simplify right side
    2,219,646x = 11,044,927,738,881
  5. Step 5: Solve for x
    x = 11,044,927,738,881/2,219,646
  6. Step 6: Final answer
    x = 4,975,986.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.