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Finding the Third Proportional to 816,466.50 and 1,730,266.50

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Solution

The third proportional to 816,466.50 and 1,730,266.50 is: 3,666,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,466.50 : 1,730,266.50 = 1,730,266.50 : x
  2. Step 2: Convert to fraction form
    816,466.50/1,730,266.50 = 1,730,266.50/x
  3. Step 3: Cross multiply
    816,466.50x = 1,730,266.50 × 1,730,266.50
  4. Step 4: Simplify right side
    816,466.50x = 2,993,822,161,022.25
  5. Step 5: Solve for x
    x = 2,993,822,161,022.25/816,466.50
  6. Step 6: Final answer
    x = 3,666,803.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.