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Finding the Third Proportional to 1,585,900 and 2,553,536

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Solution

The third proportional to 1,585,900 and 2,553,536 is: 4,111,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,900 : 2,553,536 = 2,553,536 : x
  2. Step 2: Convert to fraction form
    1,585,900/2,553,536 = 2,553,536/x
  3. Step 3: Cross multiply
    1,585,900x = 2,553,536 × 2,553,536
  4. Step 4: Simplify right side
    1,585,900x = 6,520,546,103,296
  5. Step 5: Solve for x
    x = 6,520,546,103,296/1,585,900
  6. Step 6: Final answer
    x = 4,111,574.57

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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.