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Finding the Third Proportional to 1,214,049 and 1,781,706

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Solution

The third proportional to 1,214,049 and 1,781,706 is: 2,614,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,049 : 1,781,706 = 1,781,706 : x
  2. Step 2: Convert to fraction form
    1,214,049/1,781,706 = 1,781,706/x
  3. Step 3: Cross multiply
    1,214,049x = 1,781,706 × 1,781,706
  4. Step 4: Simplify right side
    1,214,049x = 3,174,476,270,436
  5. Step 5: Solve for x
    x = 3,174,476,270,436/1,214,049
  6. Step 6: Final answer
    x = 2,614,784.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.