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Finding the Third Proportional to 884,829 and 1,361,871

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Solution

The third proportional to 884,829 and 1,361,871 is: 2,096,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,829 : 1,361,871 = 1,361,871 : x
  2. Step 2: Convert to fraction form
    884,829/1,361,871 = 1,361,871/x
  3. Step 3: Cross multiply
    884,829x = 1,361,871 × 1,361,871
  4. Step 4: Simplify right side
    884,829x = 1,854,692,620,641
  5. Step 5: Solve for x
    x = 1,854,692,620,641/884,829
  6. Step 6: Final answer
    x = 2,096,102.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.