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Finding the Third Proportional to 1,584,423 and 3,459,163.50

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Solution

The third proportional to 1,584,423 and 3,459,163.50 is: 7,552,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,423 : 3,459,163.50 = 3,459,163.50 : x
  2. Step 2: Convert to fraction form
    1,584,423/3,459,163.50 = 3,459,163.50/x
  3. Step 3: Cross multiply
    1,584,423x = 3,459,163.50 × 3,459,163.50
  4. Step 4: Simplify right side
    1,584,423x = 11,965,812,119,732.25
  5. Step 5: Solve for x
    x = 11,965,812,119,732.25/1,584,423
  6. Step 6: Final answer
    x = 7,552,157.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.