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Finding the Third Proportional to 945,989.75 and 1,417,599.50

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Solution

The third proportional to 945,989.75 and 1,417,599.50 is: 2,124,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,989.75 : 1,417,599.50 = 1,417,599.50 : x
  2. Step 2: Convert to fraction form
    945,989.75/1,417,599.50 = 1,417,599.50/x
  3. Step 3: Cross multiply
    945,989.75x = 1,417,599.50 × 1,417,599.50
  4. Step 4: Simplify right side
    945,989.75x = 2,009,588,342,400.25
  5. Step 5: Solve for x
    x = 2,009,588,342,400.25/945,989.75
  6. Step 6: Final answer
    x = 2,124,323.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.