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Finding the Third Proportional to 578,584 and 1,185,356

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Solution

The third proportional to 578,584 and 1,185,356 is: 2,428,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,584 : 1,185,356 = 1,185,356 : x
  2. Step 2: Convert to fraction form
    578,584/1,185,356 = 1,185,356/x
  3. Step 3: Cross multiply
    578,584x = 1,185,356 × 1,185,356
  4. Step 4: Simplify right side
    578,584x = 1,405,068,846,736
  5. Step 5: Solve for x
    x = 1,405,068,846,736/578,584
  6. Step 6: Final answer
    x = 2,428,461.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.