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Finding the Third Proportional to 1,349,840.25 and 1,898,460

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Solution

The third proportional to 1,349,840.25 and 1,898,460 is: 2,670,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,840.25 : 1,898,460 = 1,898,460 : x
  2. Step 2: Convert to fraction form
    1,349,840.25/1,898,460 = 1,898,460/x
  3. Step 3: Cross multiply
    1,349,840.25x = 1,898,460 × 1,898,460
  4. Step 4: Simplify right side
    1,349,840.25x = 3,604,150,371,600
  5. Step 5: Solve for x
    x = 3,604,150,371,600/1,349,840.25
  6. Step 6: Final answer
    x = 2,670,056.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.