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Finding the Third Proportional to 5,739,823 and 8,700,840

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Solution

The third proportional to 5,739,823 and 8,700,840 is: 13,189,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739,823 : 8,700,840 = 8,700,840 : x
  2. Step 2: Convert to fraction form
    5,739,823/8,700,840 = 8,700,840/x
  3. Step 3: Cross multiply
    5,739,823x = 8,700,840 × 8,700,840
  4. Step 4: Simplify right side
    5,739,823x = 75,704,616,705,600
  5. Step 5: Solve for x
    x = 75,704,616,705,600/5,739,823
  6. Step 6: Final answer
    x = 13,189,364.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.