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Finding the Third Proportional to 1,891,852.45 and 2,937,462.47

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Solution

The third proportional to 1,891,852.45 and 2,937,462.47 is: 4,560,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,852.45 : 2,937,462.47 = 2,937,462.47 : x
  2. Step 2: Convert to fraction form
    1,891,852.45/2,937,462.47 = 2,937,462.47/x
  3. Step 3: Cross multiply
    1,891,852.45x = 2,937,462.47 × 2,937,462.47
  4. Step 4: Simplify right side
    1,891,852.45x = 8,628,685,755,314.85
  5. Step 5: Solve for x
    x = 8,628,685,755,314.85/1,891,852.45
  6. Step 6: Final answer
    x = 4,560,971.84

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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.