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Finding the Third Proportional to 1,107,032.06 and 1,807,683.64

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Solution

The third proportional to 1,107,032.06 and 1,807,683.64 is: 2,951,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,032.06 : 1,807,683.64 = 1,807,683.64 : x
  2. Step 2: Convert to fraction form
    1,107,032.06/1,807,683.64 = 1,807,683.64/x
  3. Step 3: Cross multiply
    1,107,032.06x = 1,807,683.64 × 1,807,683.64
  4. Step 4: Simplify right side
    1,107,032.06x = 3,267,720,158,705.60
  5. Step 5: Solve for x
    x = 3,267,720,158,705.60/1,107,032.06
  6. Step 6: Final answer
    x = 2,951,784.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.