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Finding the Third Proportional to 434,818.13 and 933,940.13

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Solution

The third proportional to 434,818.13 and 933,940.13 is: 2,005,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,818.13 : 933,940.13 = 933,940.13 : x
  2. Step 2: Convert to fraction form
    434,818.13/933,940.13 = 933,940.13/x
  3. Step 3: Cross multiply
    434,818.13x = 933,940.13 × 933,940.13
  4. Step 4: Simplify right side
    434,818.13x = 872,244,157,085.02
  5. Step 5: Solve for x
    x = 872,244,157,085.02/434,818.13
  6. Step 6: Final answer
    x = 2,005,997.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.