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Finding the Third Proportional to 1,658,272.50 and 2,531,655

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Solution

The third proportional to 1,658,272.50 and 2,531,655 is: 3,865,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,272.50 : 2,531,655 = 2,531,655 : x
  2. Step 2: Convert to fraction form
    1,658,272.50/2,531,655 = 2,531,655/x
  3. Step 3: Cross multiply
    1,658,272.50x = 2,531,655 × 2,531,655
  4. Step 4: Simplify right side
    1,658,272.50x = 6,409,277,039,025
  5. Step 5: Solve for x
    x = 6,409,277,039,025/1,658,272.50
  6. Step 6: Final answer
    x = 3,865,032.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.