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Finding the Third Proportional to 1,262,476 and 1,775,766

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Solution

The third proportional to 1,262,476 and 1,775,766 is: 2,497,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,476 : 1,775,766 = 1,775,766 : x
  2. Step 2: Convert to fraction form
    1,262,476/1,775,766 = 1,775,766/x
  3. Step 3: Cross multiply
    1,262,476x = 1,775,766 × 1,775,766
  4. Step 4: Simplify right side
    1,262,476x = 3,153,344,886,756
  5. Step 5: Solve for x
    x = 3,153,344,886,756/1,262,476
  6. Step 6: Final answer
    x = 2,497,746.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.