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Finding the Third Proportional to 1,973,871 and 2,982,312

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Solution

The third proportional to 1,973,871 and 2,982,312 is: 4,505,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,871 : 2,982,312 = 2,982,312 : x
  2. Step 2: Convert to fraction form
    1,973,871/2,982,312 = 2,982,312/x
  3. Step 3: Cross multiply
    1,973,871x = 2,982,312 × 2,982,312
  4. Step 4: Simplify right side
    1,973,871x = 8,894,184,865,344
  5. Step 5: Solve for x
    x = 8,894,184,865,344/1,973,871
  6. Step 6: Final answer
    x = 4,505,960.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.