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Finding the Third Proportional to 3,011,829 and 4,588,317

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Solution

The third proportional to 3,011,829 and 4,588,317 is: 6,989,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011,829 : 4,588,317 = 4,588,317 : x
  2. Step 2: Convert to fraction form
    3,011,829/4,588,317 = 4,588,317/x
  3. Step 3: Cross multiply
    3,011,829x = 4,588,317 × 4,588,317
  4. Step 4: Simplify right side
    3,011,829x = 21,052,652,892,489
  5. Step 5: Solve for x
    x = 21,052,652,892,489/3,011,829
  6. Step 6: Final answer
    x = 6,989,989.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.