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Finding the Third Proportional to 1,585,972 and 2,553,647

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Solution

The third proportional to 1,585,972 and 2,553,647 is: 4,111,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,972 : 2,553,647 = 2,553,647 : x
  2. Step 2: Convert to fraction form
    1,585,972/2,553,647 = 2,553,647/x
  3. Step 3: Cross multiply
    1,585,972x = 2,553,647 × 2,553,647
  4. Step 4: Simplify right side
    1,585,972x = 6,521,113,000,609
  5. Step 5: Solve for x
    x = 6,521,113,000,609/1,585,972
  6. Step 6: Final answer
    x = 4,111,745.35

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.