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Finding the Third Proportional to 675,136 and 1,017,024

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Solution

The third proportional to 675,136 and 1,017,024 is: 1,532,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,136 : 1,017,024 = 1,017,024 : x
  2. Step 2: Convert to fraction form
    675,136/1,017,024 = 1,017,024/x
  3. Step 3: Cross multiply
    675,136x = 1,017,024 × 1,017,024
  4. Step 4: Simplify right side
    675,136x = 1,034,337,816,576
  5. Step 5: Solve for x
    x = 1,034,337,816,576/675,136
  6. Step 6: Final answer
    x = 1,532,043.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.