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Finding the Third Proportional to 1,210,266 and 1,644,534

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Solution

The third proportional to 1,210,266 and 1,644,534 is: 2,234,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,266 : 1,644,534 = 1,644,534 : x
  2. Step 2: Convert to fraction form
    1,210,266/1,644,534 = 1,644,534/x
  3. Step 3: Cross multiply
    1,210,266x = 1,644,534 × 1,644,534
  4. Step 4: Simplify right side
    1,210,266x = 2,704,492,077,156
  5. Step 5: Solve for x
    x = 2,704,492,077,156/1,210,266
  6. Step 6: Final answer
    x = 2,234,626.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.