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Finding the Third Proportional to 742,871 and 1,603,966

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Solution

The third proportional to 742,871 and 1,603,966 is: 3,463,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,871 : 1,603,966 = 1,603,966 : x
  2. Step 2: Convert to fraction form
    742,871/1,603,966 = 1,603,966/x
  3. Step 3: Cross multiply
    742,871x = 1,603,966 × 1,603,966
  4. Step 4: Simplify right side
    742,871x = 2,572,706,929,156
  5. Step 5: Solve for x
    x = 2,572,706,929,156/742,871
  6. Step 6: Final answer
    x = 3,463,194.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.