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Finding the Third Proportional to 1,771,196.63 and 2,669,284.76

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Solution

The third proportional to 1,771,196.63 and 2,669,284.76 is: 4,022,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771,196.63 : 2,669,284.76 = 2,669,284.76 : x
  2. Step 2: Convert to fraction form
    1,771,196.63/2,669,284.76 = 2,669,284.76/x
  3. Step 3: Cross multiply
    1,771,196.63x = 2,669,284.76 × 2,669,284.76
  4. Step 4: Simplify right side
    1,771,196.63x = 7,125,081,118,290.14
  5. Step 5: Solve for x
    x = 7,125,081,118,290.14/1,771,196.63
  6. Step 6: Final answer
    x = 4,022,749.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.