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Finding the Third Proportional to 3,395,601.84 and 4,985,145.84

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Solution

The third proportional to 3,395,601.84 and 4,985,145.84 is: 7,318,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395,601.84 : 4,985,145.84 = 4,985,145.84 : x
  2. Step 2: Convert to fraction form
    3,395,601.84/4,985,145.84 = 4,985,145.84/x
  3. Step 3: Cross multiply
    3,395,601.84x = 4,985,145.84 × 4,985,145.84
  4. Step 4: Simplify right side
    3,395,601.84x = 24,851,679,083,457.90
  5. Step 5: Solve for x
    x = 24,851,679,083,457.90/3,395,601.84
  6. Step 6: Final answer
    x = 7,318,784.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.