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Finding the Third Proportional to 999,497.50 and 1,461,761

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Solution

The third proportional to 999,497.50 and 1,461,761 is: 2,137,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,497.50 : 1,461,761 = 1,461,761 : x
  2. Step 2: Convert to fraction form
    999,497.50/1,461,761 = 1,461,761/x
  3. Step 3: Cross multiply
    999,497.50x = 1,461,761 × 1,461,761
  4. Step 4: Simplify right side
    999,497.50x = 2,136,745,221,121
  5. Step 5: Solve for x
    x = 2,136,745,221,121/999,497.50
  6. Step 6: Final answer
    x = 2,137,819.48

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Why These Related Problems?

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