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Finding the Third Proportional to 647,207 and 1,013,055

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Solution

The third proportional to 647,207 and 1,013,055 is: 1,585,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,207 : 1,013,055 = 1,013,055 : x
  2. Step 2: Convert to fraction form
    647,207/1,013,055 = 1,013,055/x
  3. Step 3: Cross multiply
    647,207x = 1,013,055 × 1,013,055
  4. Step 4: Simplify right side
    647,207x = 1,026,280,433,025
  5. Step 5: Solve for x
    x = 1,026,280,433,025/647,207
  6. Step 6: Final answer
    x = 1,585,706.63

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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.