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Finding the Third Proportional to 1,416,221 and 3,031,220

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Solution

The third proportional to 1,416,221 and 3,031,220 is: 6,487,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,221 : 3,031,220 = 3,031,220 : x
  2. Step 2: Convert to fraction form
    1,416,221/3,031,220 = 3,031,220/x
  3. Step 3: Cross multiply
    1,416,221x = 3,031,220 × 3,031,220
  4. Step 4: Simplify right side
    1,416,221x = 9,188,294,688,400
  5. Step 5: Solve for x
    x = 9,188,294,688,400/1,416,221
  6. Step 6: Final answer
    x = 6,487,896.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.