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Finding the Third Proportional to 3,685,416 and 5,685,576

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Solution

The third proportional to 3,685,416 and 5,685,576 is: 8,771,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685,416 : 5,685,576 = 5,685,576 : x
  2. Step 2: Convert to fraction form
    3,685,416/5,685,576 = 5,685,576/x
  3. Step 3: Cross multiply
    3,685,416x = 5,685,576 × 5,685,576
  4. Step 4: Simplify right side
    3,685,416x = 32,325,774,451,776
  5. Step 5: Solve for x
    x = 32,325,774,451,776/3,685,416
  6. Step 6: Final answer
    x = 8,771,268.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.