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Finding the Third Proportional to 946,168 and 1,415,334

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Solution

The third proportional to 946,168 and 1,415,334 is: 2,117,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,168 : 1,415,334 = 1,415,334 : x
  2. Step 2: Convert to fraction form
    946,168/1,415,334 = 1,415,334/x
  3. Step 3: Cross multiply
    946,168x = 1,415,334 × 1,415,334
  4. Step 4: Simplify right side
    946,168x = 2,003,170,331,556
  5. Step 5: Solve for x
    x = 2,003,170,331,556/946,168
  6. Step 6: Final answer
    x = 2,117,140.22

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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.