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Finding the Third Proportional to 2,307,262.50 and 3,581,820

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Solution

The third proportional to 2,307,262.50 and 3,581,820 is: 5,560,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,262.50 : 3,581,820 = 3,581,820 : x
  2. Step 2: Convert to fraction form
    2,307,262.50/3,581,820 = 3,581,820/x
  3. Step 3: Cross multiply
    2,307,262.50x = 3,581,820 × 3,581,820
  4. Step 4: Simplify right side
    2,307,262.50x = 12,829,434,512,400
  5. Step 5: Solve for x
    x = 12,829,434,512,400/2,307,262.50
  6. Step 6: Final answer
    x = 5,560,457.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.