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Finding the Third Proportional to 999,471 and 1,461,883.50

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Solution

The third proportional to 999,471 and 1,461,883.50 is: 2,138,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,471 : 1,461,883.50 = 1,461,883.50 : x
  2. Step 2: Convert to fraction form
    999,471/1,461,883.50 = 1,461,883.50/x
  3. Step 3: Cross multiply
    999,471x = 1,461,883.50 × 1,461,883.50
  4. Step 4: Simplify right side
    999,471x = 2,137,103,367,572.25
  5. Step 5: Solve for x
    x = 2,137,103,367,572.25/999,471
  6. Step 6: Final answer
    x = 2,138,234.49

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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.