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Finding the Third Proportional to 6,020,789 and 8,582,743

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Solution

The third proportional to 6,020,789 and 8,582,743 is: 12,234,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020,789 : 8,582,743 = 8,582,743 : x
  2. Step 2: Convert to fraction form
    6,020,789/8,582,743 = 8,582,743/x
  3. Step 3: Cross multiply
    6,020,789x = 8,582,743 × 8,582,743
  4. Step 4: Simplify right side
    6,020,789x = 73,663,477,404,049
  5. Step 5: Solve for x
    x = 73,663,477,404,049/6,020,789
  6. Step 6: Final answer
    x = 12,234,854.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.