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Finding the Third Proportional to 1,769,000 and 3,868,960

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Solution

The third proportional to 1,769,000 and 3,868,960 is: 8,461,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,000 : 3,868,960 = 3,868,960 : x
  2. Step 2: Convert to fraction form
    1,769,000/3,868,960 = 3,868,960/x
  3. Step 3: Cross multiply
    1,769,000x = 3,868,960 × 3,868,960
  4. Step 4: Simplify right side
    1,769,000x = 14,968,851,481,600
  5. Step 5: Solve for x
    x = 14,968,851,481,600/1,769,000
  6. Step 6: Final answer
    x = 8,461,758.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.