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Finding the Third Proportional to 1,023,174 and 1,705,185

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Solution

The third proportional to 1,023,174 and 1,705,185 is: 2,841,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,174 : 1,705,185 = 1,705,185 : x
  2. Step 2: Convert to fraction form
    1,023,174/1,705,185 = 1,705,185/x
  3. Step 3: Cross multiply
    1,023,174x = 1,705,185 × 1,705,185
  4. Step 4: Simplify right side
    1,023,174x = 2,907,655,884,225
  5. Step 5: Solve for x
    x = 2,907,655,884,225/1,023,174
  6. Step 6: Final answer
    x = 2,841,800.01

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.