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Finding the Third Proportional to 1,107,190.50 and 1,414,746

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Solution

The third proportional to 1,107,190.50 and 1,414,746 is: 1,807,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,190.50 : 1,414,746 = 1,414,746 : x
  2. Step 2: Convert to fraction form
    1,107,190.50/1,414,746 = 1,414,746/x
  3. Step 3: Cross multiply
    1,107,190.50x = 1,414,746 × 1,414,746
  4. Step 4: Simplify right side
    1,107,190.50x = 2,001,506,244,516
  5. Step 5: Solve for x
    x = 2,001,506,244,516/1,107,190.50
  6. Step 6: Final answer
    x = 1,807,734.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.