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Finding the Third Proportional to 768,457.13 and 1,669,804.88

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Solution

The third proportional to 768,457.13 and 1,669,804.88 is: 3,628,372.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,457.13 : 1,669,804.88 = 1,669,804.88 : x
  2. Step 2: Convert to fraction form
    768,457.13/1,669,804.88 = 1,669,804.88/x
  3. Step 3: Cross multiply
    768,457.13x = 1,669,804.88 × 1,669,804.88
  4. Step 4: Simplify right side
    768,457.13x = 2,788,248,320,573.77
  5. Step 5: Solve for x
    x = 2,788,248,320,573.77/768,457.13
  6. Step 6: Final answer
    x = 3,628,372.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.