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Finding the Third Proportional to 1,871,570.81 and 3,831,829.03

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Solution

The third proportional to 1,871,570.81 and 3,831,829.03 is: 7,845,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871,570.81 : 3,831,829.03 = 3,831,829.03 : x
  2. Step 2: Convert to fraction form
    1,871,570.81/3,831,829.03 = 3,831,829.03/x
  3. Step 3: Cross multiply
    1,871,570.81x = 3,831,829.03 × 3,831,829.03
  4. Step 4: Simplify right side
    1,871,570.81x = 14,682,913,724,730.31
  5. Step 5: Solve for x
    x = 14,682,913,724,730.31/1,871,570.81
  6. Step 6: Final answer
    x = 7,845,235.47

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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.