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Finding the Third Proportional to 2,220,440 and 4,615,416

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Solution

The third proportional to 2,220,440 and 4,615,416 is: 9,593,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,440 : 4,615,416 = 4,615,416 : x
  2. Step 2: Convert to fraction form
    2,220,440/4,615,416 = 4,615,416/x
  3. Step 3: Cross multiply
    2,220,440x = 4,615,416 × 4,615,416
  4. Step 4: Simplify right side
    2,220,440x = 21,302,064,853,056
  5. Step 5: Solve for x
    x = 21,302,064,853,056/2,220,440
  6. Step 6: Final answer
    x = 9,593,623.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.