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Finding the Third Proportional to 1,651,675.50 and 2,500,294.50

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Solution

The third proportional to 1,651,675.50 and 2,500,294.50 is: 3,784,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,675.50 : 2,500,294.50 = 2,500,294.50 : x
  2. Step 2: Convert to fraction form
    1,651,675.50/2,500,294.50 = 2,500,294.50/x
  3. Step 3: Cross multiply
    1,651,675.50x = 2,500,294.50 × 2,500,294.50
  4. Step 4: Simplify right side
    1,651,675.50x = 6,251,472,586,730.25
  5. Step 5: Solve for x
    x = 6,251,472,586,730.25/1,651,675.50
  6. Step 6: Final answer
    x = 3,784,927.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.