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Finding the Third Proportional to 432,154.69 and 933,551.44

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Solution

The third proportional to 432,154.69 and 933,551.44 is: 2,016,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,154.69 : 933,551.44 = 933,551.44 : x
  2. Step 2: Convert to fraction form
    432,154.69/933,551.44 = 933,551.44/x
  3. Step 3: Cross multiply
    432,154.69x = 933,551.44 × 933,551.44
  4. Step 4: Simplify right side
    432,154.69x = 871,518,286,458.32
  5. Step 5: Solve for x
    x = 871,518,286,458.32/432,154.69
  6. Step 6: Final answer
    x = 2,016,681.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.