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Finding the Third Proportional to 594,472 and 1,285,904

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Solution

The third proportional to 594,472 and 1,285,904 is: 2,781,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,472 : 1,285,904 = 1,285,904 : x
  2. Step 2: Convert to fraction form
    594,472/1,285,904 = 1,285,904/x
  3. Step 3: Cross multiply
    594,472x = 1,285,904 × 1,285,904
  4. Step 4: Simplify right side
    594,472x = 1,653,549,097,216
  5. Step 5: Solve for x
    x = 1,653,549,097,216/594,472
  6. Step 6: Final answer
    x = 2,781,542.44

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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.