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Finding the Third Proportional to 594,442 and 1,285,841

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Solution

The third proportional to 594,442 and 1,285,841 is: 2,781,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,442 : 1,285,841 = 1,285,841 : x
  2. Step 2: Convert to fraction form
    594,442/1,285,841 = 1,285,841/x
  3. Step 3: Cross multiply
    594,442x = 1,285,841 × 1,285,841
  4. Step 4: Simplify right side
    594,442x = 1,653,387,077,281
  5. Step 5: Solve for x
    x = 1,653,387,077,281/594,442
  6. Step 6: Final answer
    x = 2,781,410.26

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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.