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Finding the Third Proportional to 816,280 and 1,287,024

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Solution

The third proportional to 816,280 and 1,287,024 is: 2,029,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,280 : 1,287,024 = 1,287,024 : x
  2. Step 2: Convert to fraction form
    816,280/1,287,024 = 1,287,024/x
  3. Step 3: Cross multiply
    816,280x = 1,287,024 × 1,287,024
  4. Step 4: Simplify right side
    816,280x = 1,656,430,776,576
  5. Step 5: Solve for x
    x = 1,656,430,776,576/816,280
  6. Step 6: Final answer
    x = 2,029,243.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.