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Finding the Third Proportional to 1,002,861 and 2,145,681

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Solution

The third proportional to 1,002,861 and 2,145,681 is: 4,590,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,861 : 2,145,681 = 2,145,681 : x
  2. Step 2: Convert to fraction form
    1,002,861/2,145,681 = 2,145,681/x
  3. Step 3: Cross multiply
    1,002,861x = 2,145,681 × 2,145,681
  4. Step 4: Simplify right side
    1,002,861x = 4,603,946,953,761
  5. Step 5: Solve for x
    x = 4,603,946,953,761/1,002,861
  6. Step 6: Final answer
    x = 4,590,812.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.