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Finding the Third Proportional to 1,798,237.50 and 3,852,968.75

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Solution

The third proportional to 1,798,237.50 and 3,852,968.75 is: 8,255,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,237.50 : 3,852,968.75 = 3,852,968.75 : x
  2. Step 2: Convert to fraction form
    1,798,237.50/3,852,968.75 = 3,852,968.75/x
  3. Step 3: Cross multiply
    1,798,237.50x = 3,852,968.75 × 3,852,968.75
  4. Step 4: Simplify right side
    1,798,237.50x = 14,845,368,188,476.56
  5. Step 5: Solve for x
    x = 14,845,368,188,476.56/1,798,237.50
  6. Step 6: Final answer
    x = 8,255,510.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.