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Finding the Third Proportional to 4,828,200.75 and 6,767,712

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Solution

The third proportional to 4,828,200.75 and 6,767,712 is: 9,486,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828,200.75 : 6,767,712 = 6,767,712 : x
  2. Step 2: Convert to fraction form
    4,828,200.75/6,767,712 = 6,767,712/x
  3. Step 3: Cross multiply
    4,828,200.75x = 6,767,712 × 6,767,712
  4. Step 4: Simplify right side
    4,828,200.75x = 45,801,925,714,944
  5. Step 5: Solve for x
    x = 45,801,925,714,944/4,828,200.75
  6. Step 6: Final answer
    x = 9,486,334.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.