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Finding the Third Proportional to 933,467.24 and 1,441,662.02

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Solution

The third proportional to 933,467.24 and 1,441,662.02 is: 2,226,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,467.24 : 1,441,662.02 = 1,441,662.02 : x
  2. Step 2: Convert to fraction form
    933,467.24/1,441,662.02 = 1,441,662.02/x
  3. Step 3: Cross multiply
    933,467.24x = 1,441,662.02 × 1,441,662.02
  4. Step 4: Simplify right side
    933,467.24x = 2,078,389,371,871.49
  5. Step 5: Solve for x
    x = 2,078,389,371,871.49/933,467.24
  6. Step 6: Final answer
    x = 2,226,526.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.