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Finding the Third Proportional to 1,006,024 and 1,522,023

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Solution

The third proportional to 1,006,024 and 1,522,023 is: 2,302,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,024 : 1,522,023 = 1,522,023 : x
  2. Step 2: Convert to fraction form
    1,006,024/1,522,023 = 1,522,023/x
  3. Step 3: Cross multiply
    1,006,024x = 1,522,023 × 1,522,023
  4. Step 4: Simplify right side
    1,006,024x = 2,316,554,012,529
  5. Step 5: Solve for x
    x = 2,316,554,012,529/1,006,024
  6. Step 6: Final answer
    x = 2,302,682.65

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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.