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Finding the Third Proportional to 647,180 and 1,013,021

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Solution

The third proportional to 647,180 and 1,013,021 is: 1,585,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,180 : 1,013,021 = 1,013,021 : x
  2. Step 2: Convert to fraction form
    647,180/1,013,021 = 1,013,021/x
  3. Step 3: Cross multiply
    647,180x = 1,013,021 × 1,013,021
  4. Step 4: Simplify right side
    647,180x = 1,026,211,546,441
  5. Step 5: Solve for x
    x = 1,026,211,546,441/647,180
  6. Step 6: Final answer
    x = 1,585,666.35

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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.