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Finding the Third Proportional to 964,431 and 1,455,390

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Solution

The third proportional to 964,431 and 1,455,390 is: 2,196,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,431 : 1,455,390 = 1,455,390 : x
  2. Step 2: Convert to fraction form
    964,431/1,455,390 = 1,455,390/x
  3. Step 3: Cross multiply
    964,431x = 1,455,390 × 1,455,390
  4. Step 4: Simplify right side
    964,431x = 2,118,160,052,100
  5. Step 5: Solve for x
    x = 2,118,160,052,100/964,431
  6. Step 6: Final answer
    x = 2,196,279.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.