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Finding the Third Proportional to 374,638 and 802,871

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Solution

The third proportional to 374,638 and 802,871 is: 1,720,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,638 : 802,871 = 802,871 : x
  2. Step 2: Convert to fraction form
    374,638/802,871 = 802,871/x
  3. Step 3: Cross multiply
    374,638x = 802,871 × 802,871
  4. Step 4: Simplify right side
    374,638x = 644,601,842,641
  5. Step 5: Solve for x
    x = 644,601,842,641/374,638
  6. Step 6: Final answer
    x = 1,720,599.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.