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Finding the Third Proportional to 657,262.50 and 1,039,869

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Solution

The third proportional to 657,262.50 and 1,039,869 is: 1,645,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,262.50 : 1,039,869 = 1,039,869 : x
  2. Step 2: Convert to fraction form
    657,262.50/1,039,869 = 1,039,869/x
  3. Step 3: Cross multiply
    657,262.50x = 1,039,869 × 1,039,869
  4. Step 4: Simplify right side
    657,262.50x = 1,081,327,537,161
  5. Step 5: Solve for x
    x = 1,081,327,537,161/657,262.50
  6. Step 6: Final answer
    x = 1,645,198.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.