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Finding the Third Proportional to 4,281,234.75 and 5,870,728.13

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Solution

The third proportional to 4,281,234.75 and 5,870,728.13 is: 8,050,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281,234.75 : 5,870,728.13 = 5,870,728.13 : x
  2. Step 2: Convert to fraction form
    4,281,234.75/5,870,728.13 = 5,870,728.13/x
  3. Step 3: Cross multiply
    4,281,234.75x = 5,870,728.13 × 5,870,728.13
  4. Step 4: Simplify right side
    4,281,234.75x = 34,465,448,717,666.02
  5. Step 5: Solve for x
    x = 34,465,448,717,666.02/4,281,234.75
  6. Step 6: Final answer
    x = 8,050,352.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.