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Finding the Third Proportional to 710,006 and 1,072,401

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Solution

The third proportional to 710,006 and 1,072,401 is: 1,619,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,006 : 1,072,401 = 1,072,401 : x
  2. Step 2: Convert to fraction form
    710,006/1,072,401 = 1,072,401/x
  3. Step 3: Cross multiply
    710,006x = 1,072,401 × 1,072,401
  4. Step 4: Simplify right side
    710,006x = 1,150,043,904,801
  5. Step 5: Solve for x
    x = 1,150,043,904,801/710,006
  6. Step 6: Final answer
    x = 1,619,766.46

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