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Finding the Third Proportional to 3,095,674.50 and 4,690,330.50

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Solution

The third proportional to 3,095,674.50 and 4,690,330.50 is: 7,106,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095,674.50 : 4,690,330.50 = 4,690,330.50 : x
  2. Step 2: Convert to fraction form
    3,095,674.50/4,690,330.50 = 4,690,330.50/x
  3. Step 3: Cross multiply
    3,095,674.50x = 4,690,330.50 × 4,690,330.50
  4. Step 4: Simplify right side
    3,095,674.50x = 21,999,200,199,230.25
  5. Step 5: Solve for x
    x = 21,999,200,199,230.25/3,095,674.50
  6. Step 6: Final answer
    x = 7,106,431.96

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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.