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Finding the Third Proportional to 714,163.50 and 1,487,511

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Solution

The third proportional to 714,163.50 and 1,487,511 is: 3,098,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,163.50 : 1,487,511 = 1,487,511 : x
  2. Step 2: Convert to fraction form
    714,163.50/1,487,511 = 1,487,511/x
  3. Step 3: Cross multiply
    714,163.50x = 1,487,511 × 1,487,511
  4. Step 4: Simplify right side
    714,163.50x = 2,212,688,975,121
  5. Step 5: Solve for x
    x = 2,212,688,975,121/714,163.50
  6. Step 6: Final answer
    x = 3,098,294.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.