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Finding the Third Proportional to 657,038 and 1,412,230

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Solution

The third proportional to 657,038 and 1,412,230 is: 3,035,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,038 : 1,412,230 = 1,412,230 : x
  2. Step 2: Convert to fraction form
    657,038/1,412,230 = 1,412,230/x
  3. Step 3: Cross multiply
    657,038x = 1,412,230 × 1,412,230
  4. Step 4: Simplify right side
    657,038x = 1,994,393,572,900
  5. Step 5: Solve for x
    x = 1,994,393,572,900/657,038
  6. Step 6: Final answer
    x = 3,035,431.09

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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.