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Finding the Third Proportional to 1,114,006 and 1,624,065

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Solution

The third proportional to 1,114,006 and 1,624,065 is: 2,367,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,006 : 1,624,065 = 1,624,065 : x
  2. Step 2: Convert to fraction form
    1,114,006/1,624,065 = 1,624,065/x
  3. Step 3: Cross multiply
    1,114,006x = 1,624,065 × 1,624,065
  4. Step 4: Simplify right side
    1,114,006x = 2,637,587,124,225
  5. Step 5: Solve for x
    x = 2,637,587,124,225/1,114,006
  6. Step 6: Final answer
    x = 2,367,659.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.