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Finding the Third Proportional to 701,382 and 1,533,972

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Solution

The third proportional to 701,382 and 1,533,972 is: 3,354,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,382 : 1,533,972 = 1,533,972 : x
  2. Step 2: Convert to fraction form
    701,382/1,533,972 = 1,533,972/x
  3. Step 3: Cross multiply
    701,382x = 1,533,972 × 1,533,972
  4. Step 4: Simplify right side
    701,382x = 2,353,070,096,784
  5. Step 5: Solve for x
    x = 2,353,070,096,784/701,382
  6. Step 6: Final answer
    x = 3,354,905.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.