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Finding the Third Proportional to 420,957 and 930,507.75

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Solution

The third proportional to 420,957 and 930,507.75 is: 2,056,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,957 : 930,507.75 = 930,507.75 : x
  2. Step 2: Convert to fraction form
    420,957/930,507.75 = 930,507.75/x
  3. Step 3: Cross multiply
    420,957x = 930,507.75 × 930,507.75
  4. Step 4: Simplify right side
    420,957x = 865,844,672,810.06
  5. Step 5: Solve for x
    x = 865,844,672,810.06/420,957
  6. Step 6: Final answer
    x = 2,056,848.26

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.