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Finding the Third Proportional to 712,745.58 and 1,550,970.28

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Solution

The third proportional to 712,745.58 and 1,550,970.28 is: 3,374,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,745.58 : 1,550,970.28 = 1,550,970.28 : x
  2. Step 2: Convert to fraction form
    712,745.58/1,550,970.28 = 1,550,970.28/x
  3. Step 3: Cross multiply
    712,745.58x = 1,550,970.28 × 1,550,970.28
  4. Step 4: Simplify right side
    712,745.58x = 2,405,508,813,320.70
  5. Step 5: Solve for x
    x = 2,405,508,813,320.70/712,745.58
  6. Step 6: Final answer
    x = 3,374,989.46

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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.