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Finding the Third Proportional to 647,182 and 1,013,024

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Solution

The third proportional to 647,182 and 1,013,024 is: 1,585,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,182 : 1,013,024 = 1,013,024 : x
  2. Step 2: Convert to fraction form
    647,182/1,013,024 = 1,013,024/x
  3. Step 3: Cross multiply
    647,182x = 1,013,024 × 1,013,024
  4. Step 4: Simplify right side
    647,182x = 1,026,217,624,576
  5. Step 5: Solve for x
    x = 1,026,217,624,576/647,182
  6. Step 6: Final answer
    x = 1,585,670.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.