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Finding the Third Proportional to 929,643 and 1,436,503.50

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Solution

The third proportional to 929,643 and 1,436,503.50 is: 2,219,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,643 : 1,436,503.50 = 1,436,503.50 : x
  2. Step 2: Convert to fraction form
    929,643/1,436,503.50 = 1,436,503.50/x
  3. Step 3: Cross multiply
    929,643x = 1,436,503.50 × 1,436,503.50
  4. Step 4: Simplify right side
    929,643x = 2,063,542,305,512.25
  5. Step 5: Solve for x
    x = 2,063,542,305,512.25/929,643
  6. Step 6: Final answer
    x = 2,219,714.78

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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.