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Finding the Third Proportional to 1,871,688 and 3,832,039.50

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Solution

The third proportional to 1,871,688 and 3,832,039.50 is: 7,845,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871,688 : 3,832,039.50 = 3,832,039.50 : x
  2. Step 2: Convert to fraction form
    1,871,688/3,832,039.50 = 3,832,039.50/x
  3. Step 3: Cross multiply
    1,871,688x = 3,832,039.50 × 3,832,039.50
  4. Step 4: Simplify right side
    1,871,688x = 14,684,526,729,560.25
  5. Step 5: Solve for x
    x = 14,684,526,729,560.25/1,871,688
  6. Step 6: Final answer
    x = 7,845,606.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.