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Finding the Third Proportional to 881,823.50 and 1,241,807.50

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Solution

The third proportional to 881,823.50 and 1,241,807.50 is: 1,748,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,823.50 : 1,241,807.50 = 1,241,807.50 : x
  2. Step 2: Convert to fraction form
    881,823.50/1,241,807.50 = 1,241,807.50/x
  3. Step 3: Cross multiply
    881,823.50x = 1,241,807.50 × 1,241,807.50
  4. Step 4: Simplify right side
    881,823.50x = 1,542,085,867,056.25
  5. Step 5: Solve for x
    x = 1,542,085,867,056.25/881,823.50
  6. Step 6: Final answer
    x = 1,748,746.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.