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Finding the Third Proportional to 647,670 and 1,013,710

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Solution

The third proportional to 647,670 and 1,013,710 is: 1,586,622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,670 : 1,013,710 = 1,013,710 : x
  2. Step 2: Convert to fraction form
    647,670/1,013,710 = 1,013,710/x
  3. Step 3: Cross multiply
    647,670x = 1,013,710 × 1,013,710
  4. Step 4: Simplify right side
    647,670x = 1,027,607,964,100
  5. Step 5: Solve for x
    x = 1,027,607,964,100/647,670
  6. Step 6: Final answer
    x = 1,586,622.76

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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.