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Finding the Third Proportional to 578,464 and 1,289,736

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Solution

The third proportional to 578,464 and 1,289,736 is: 2,875,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,464 : 1,289,736 = 1,289,736 : x
  2. Step 2: Convert to fraction form
    578,464/1,289,736 = 1,289,736/x
  3. Step 3: Cross multiply
    578,464x = 1,289,736 × 1,289,736
  4. Step 4: Simplify right side
    578,464x = 1,663,418,949,696
  5. Step 5: Solve for x
    x = 1,663,418,949,696/578,464
  6. Step 6: Final answer
    x = 2,875,579.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.