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Finding the Third Proportional to 1,260,685.50 and 1,892,319.38

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Solution

The third proportional to 1,260,685.50 and 1,892,319.38 is: 2,840,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,685.50 : 1,892,319.38 = 1,892,319.38 : x
  2. Step 2: Convert to fraction form
    1,260,685.50/1,892,319.38 = 1,892,319.38/x
  3. Step 3: Cross multiply
    1,260,685.50x = 1,892,319.38 × 1,892,319.38
  4. Step 4: Simplify right side
    1,260,685.50x = 3,580,872,617,000.39
  5. Step 5: Solve for x
    x = 3,580,872,617,000.39/1,260,685.50
  6. Step 6: Final answer
    x = 2,840,417.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.