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Finding the Third Proportional to 1,004,991.75 and 2,187,130.50

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Solution

The third proportional to 1,004,991.75 and 2,187,130.50 is: 4,759,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,991.75 : 2,187,130.50 = 2,187,130.50 : x
  2. Step 2: Convert to fraction form
    1,004,991.75/2,187,130.50 = 2,187,130.50/x
  3. Step 3: Cross multiply
    1,004,991.75x = 2,187,130.50 × 2,187,130.50
  4. Step 4: Simplify right side
    1,004,991.75x = 4,783,539,824,030.25
  5. Step 5: Solve for x
    x = 4,783,539,824,030.25/1,004,991.75
  6. Step 6: Final answer
    x = 4,759,780.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.