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Finding the Third Proportional to 1,952,416 and 4,220,664.50

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Solution

The third proportional to 1,952,416 and 4,220,664.50 is: 9,124,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,416 : 4,220,664.50 = 4,220,664.50 : x
  2. Step 2: Convert to fraction form
    1,952,416/4,220,664.50 = 4,220,664.50/x
  3. Step 3: Cross multiply
    1,952,416x = 4,220,664.50 × 4,220,664.50
  4. Step 4: Simplify right side
    1,952,416x = 17,814,008,821,560.25
  5. Step 5: Solve for x
    x = 17,814,008,821,560.25/1,952,416
  6. Step 6: Final answer
    x = 9,124,084.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.