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Finding the Third Proportional to 607,543.50 and 1,406,511

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Solution

The third proportional to 607,543.50 and 1,406,511 is: 3,256,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,543.50 : 1,406,511 = 1,406,511 : x
  2. Step 2: Convert to fraction form
    607,543.50/1,406,511 = 1,406,511/x
  3. Step 3: Cross multiply
    607,543.50x = 1,406,511 × 1,406,511
  4. Step 4: Simplify right side
    607,543.50x = 1,978,273,193,121
  5. Step 5: Solve for x
    x = 1,978,273,193,121/607,543.50
  6. Step 6: Final answer
    x = 3,256,183.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.