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Finding the Third Proportional to 5,791,506 and 8,676,081

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Solution

The third proportional to 5,791,506 and 8,676,081 is: 12,997,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791,506 : 8,676,081 = 8,676,081 : x
  2. Step 2: Convert to fraction form
    5,791,506/8,676,081 = 8,676,081/x
  3. Step 3: Cross multiply
    5,791,506x = 8,676,081 × 8,676,081
  4. Step 4: Simplify right side
    5,791,506x = 75,274,381,518,561
  5. Step 5: Solve for x
    x = 75,274,381,518,561/5,791,506
  6. Step 6: Final answer
    x = 12,997,376.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.