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Finding the Third Proportional to 704,160 and 1,517,832

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Solution

The third proportional to 704,160 and 1,517,832 is: 3,271,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,160 : 1,517,832 = 1,517,832 : x
  2. Step 2: Convert to fraction form
    704,160/1,517,832 = 1,517,832/x
  3. Step 3: Cross multiply
    704,160x = 1,517,832 × 1,517,832
  4. Step 4: Simplify right side
    704,160x = 2,303,813,980,224
  5. Step 5: Solve for x
    x = 2,303,813,980,224/704,160
  6. Step 6: Final answer
    x = 3,271,719.47

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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.