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Finding the Third Proportional to 761,431.50 and 1,625,613

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Solution

The third proportional to 761,431.50 and 1,625,613 is: 3,470,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,431.50 : 1,625,613 = 1,625,613 : x
  2. Step 2: Convert to fraction form
    761,431.50/1,625,613 = 1,625,613/x
  3. Step 3: Cross multiply
    761,431.50x = 1,625,613 × 1,625,613
  4. Step 4: Simplify right side
    761,431.50x = 2,642,617,625,769
  5. Step 5: Solve for x
    x = 2,642,617,625,769/761,431.50
  6. Step 6: Final answer
    x = 3,470,591.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.