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Finding the Third Proportional to 1,006,098 and 1,570,401

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Solution

The third proportional to 1,006,098 and 1,570,401 is: 2,451,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,098 : 1,570,401 = 1,570,401 : x
  2. Step 2: Convert to fraction form
    1,006,098/1,570,401 = 1,570,401/x
  3. Step 3: Cross multiply
    1,006,098x = 1,570,401 × 1,570,401
  4. Step 4: Simplify right side
    1,006,098x = 2,466,159,300,801
  5. Step 5: Solve for x
    x = 2,466,159,300,801/1,006,098
  6. Step 6: Final answer
    x = 2,451,211.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.