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Finding the Third Proportional to 1,878,835.50 and 4,187,970

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Solution

The third proportional to 1,878,835.50 and 4,187,970 is: 9,335,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,835.50 : 4,187,970 = 4,187,970 : x
  2. Step 2: Convert to fraction form
    1,878,835.50/4,187,970 = 4,187,970/x
  3. Step 3: Cross multiply
    1,878,835.50x = 4,187,970 × 4,187,970
  4. Step 4: Simplify right side
    1,878,835.50x = 17,539,092,720,900
  5. Step 5: Solve for x
    x = 17,539,092,720,900/1,878,835.50
  6. Step 6: Final answer
    x = 9,335,086.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.