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Finding the Third Proportional to 3,210,536.75 and 4,700,622.75

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Solution

The third proportional to 3,210,536.75 and 4,700,622.75 is: 6,882,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,536.75 : 4,700,622.75 = 4,700,622.75 : x
  2. Step 2: Convert to fraction form
    3,210,536.75/4,700,622.75 = 4,700,622.75/x
  3. Step 3: Cross multiply
    3,210,536.75x = 4,700,622.75 × 4,700,622.75
  4. Step 4: Simplify right side
    3,210,536.75x = 22,095,854,237,817.56
  5. Step 5: Solve for x
    x = 22,095,854,237,817.56/3,210,536.75
  6. Step 6: Final answer
    x = 6,882,292.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.