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Finding the Third Proportional to 586,833.75 and 1,236,714.47

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Solution

The third proportional to 586,833.75 and 1,236,714.47 is: 2,606,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,833.75 : 1,236,714.47 = 1,236,714.47 : x
  2. Step 2: Convert to fraction form
    586,833.75/1,236,714.47 = 1,236,714.47/x
  3. Step 3: Cross multiply
    586,833.75x = 1,236,714.47 × 1,236,714.47
  4. Step 4: Simplify right side
    586,833.75x = 1,529,462,677,215.59
  5. Step 5: Solve for x
    x = 1,529,462,677,215.59/586,833.75
  6. Step 6: Final answer
    x = 2,606,296.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.