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Finding the Third Proportional to 557,886 and 1,219,714

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Solution

The third proportional to 557,886 and 1,219,714 is: 2,666,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,886 : 1,219,714 = 1,219,714 : x
  2. Step 2: Convert to fraction form
    557,886/1,219,714 = 1,219,714/x
  3. Step 3: Cross multiply
    557,886x = 1,219,714 × 1,219,714
  4. Step 4: Simplify right side
    557,886x = 1,487,702,241,796
  5. Step 5: Solve for x
    x = 1,487,702,241,796/557,886
  6. Step 6: Final answer
    x = 2,666,677.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.