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Finding the Third Proportional to 701,370 and 1,533,966

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Solution

The third proportional to 701,370 and 1,533,966 is: 3,354,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,370 : 1,533,966 = 1,533,966 : x
  2. Step 2: Convert to fraction form
    701,370/1,533,966 = 1,533,966/x
  3. Step 3: Cross multiply
    701,370x = 1,533,966 × 1,533,966
  4. Step 4: Simplify right side
    701,370x = 2,353,051,689,156
  5. Step 5: Solve for x
    x = 2,353,051,689,156/701,370
  6. Step 6: Final answer
    x = 3,354,936.32

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