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Finding the Third Proportional to 652,605 and 1,401,612

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Solution

The third proportional to 652,605 and 1,401,612 is: 3,010,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,605 : 1,401,612 = 1,401,612 : x
  2. Step 2: Convert to fraction form
    652,605/1,401,612 = 1,401,612/x
  3. Step 3: Cross multiply
    652,605x = 1,401,612 × 1,401,612
  4. Step 4: Simplify right side
    652,605x = 1,964,516,198,544
  5. Step 5: Solve for x
    x = 1,964,516,198,544/652,605
  6. Step 6: Final answer
    x = 3,010,268.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.