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Finding the Third Proportional to 811,984.50 and 1,743,913.13

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Solution

The third proportional to 811,984.50 and 1,743,913.13 is: 3,745,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,984.50 : 1,743,913.13 = 1,743,913.13 : x
  2. Step 2: Convert to fraction form
    811,984.50/1,743,913.13 = 1,743,913.13/x
  3. Step 3: Cross multiply
    811,984.50x = 1,743,913.13 × 1,743,913.13
  4. Step 4: Simplify right side
    811,984.50x = 3,041,232,987,547.27
  5. Step 5: Solve for x
    x = 3,041,232,987,547.27/811,984.50
  6. Step 6: Final answer
    x = 3,745,432.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.