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Finding the Third Proportional to 3,860,482.15 and 5,661,690.22

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Solution

The third proportional to 3,860,482.15 and 5,661,690.22 is: 8,303,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860,482.15 : 5,661,690.22 = 5,661,690.22 : x
  2. Step 2: Convert to fraction form
    3,860,482.15/5,661,690.22 = 5,661,690.22/x
  3. Step 3: Cross multiply
    3,860,482.15x = 5,661,690.22 × 5,661,690.22
  4. Step 4: Simplify right side
    3,860,482.15x = 32,054,736,177,320.81
  5. Step 5: Solve for x
    x = 32,054,736,177,320.81/3,860,482.15
  6. Step 6: Final answer
    x = 8,303,298.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.