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Finding the Third Proportional to 2,871,625.50 and 4,445,907.75

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Solution

The third proportional to 2,871,625.50 and 4,445,907.75 is: 6,883,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,625.50 : 4,445,907.75 = 4,445,907.75 : x
  2. Step 2: Convert to fraction form
    2,871,625.50/4,445,907.75 = 4,445,907.75/x
  3. Step 3: Cross multiply
    2,871,625.50x = 4,445,907.75 × 4,445,907.75
  4. Step 4: Simplify right side
    2,871,625.50x = 19,766,095,721,510.06
  5. Step 5: Solve for x
    x = 19,766,095,721,510.06/2,871,625.50
  6. Step 6: Final answer
    x = 6,883,242.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.