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Finding the Third Proportional to 1,578,730.50 and 2,199,564

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Solution

The third proportional to 1,578,730.50 and 2,199,564 is: 3,064,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,730.50 : 2,199,564 = 2,199,564 : x
  2. Step 2: Convert to fraction form
    1,578,730.50/2,199,564 = 2,199,564/x
  3. Step 3: Cross multiply
    1,578,730.50x = 2,199,564 × 2,199,564
  4. Step 4: Simplify right side
    1,578,730.50x = 4,838,081,790,096
  5. Step 5: Solve for x
    x = 4,838,081,790,096/1,578,730.50
  6. Step 6: Final answer
    x = 3,064,539.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.