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Finding the Third Proportional to 657,176.63 and 1,412,511.75

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Solution

The third proportional to 657,176.63 and 1,412,511.75 is: 3,036,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,176.63 : 1,412,511.75 = 1,412,511.75 : x
  2. Step 2: Convert to fraction form
    657,176.63/1,412,511.75 = 1,412,511.75/x
  3. Step 3: Cross multiply
    657,176.63x = 1,412,511.75 × 1,412,511.75
  4. Step 4: Simplify right side
    657,176.63x = 1,995,189,443,888.06
  5. Step 5: Solve for x
    x = 1,995,189,443,888.06/657,176.63
  6. Step 6: Final answer
    x = 3,036,001.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.