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Finding the Third Proportional to 714,015 and 1,558,237.50

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Solution

The third proportional to 714,015 and 1,558,237.50 is: 3,400,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,015 : 1,558,237.50 = 1,558,237.50 : x
  2. Step 2: Convert to fraction form
    714,015/1,558,237.50 = 1,558,237.50/x
  3. Step 3: Cross multiply
    714,015x = 1,558,237.50 × 1,558,237.50
  4. Step 4: Simplify right side
    714,015x = 2,428,104,106,406.25
  5. Step 5: Solve for x
    x = 2,428,104,106,406.25/714,015
  6. Step 6: Final answer
    x = 3,400,634.59

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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.