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Finding the Third Proportional to 665,886 and 1,021,185

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Solution

The third proportional to 665,886 and 1,021,185 is: 1,566,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,886 : 1,021,185 = 1,021,185 : x
  2. Step 2: Convert to fraction form
    665,886/1,021,185 = 1,021,185/x
  3. Step 3: Cross multiply
    665,886x = 1,021,185 × 1,021,185
  4. Step 4: Simplify right side
    665,886x = 1,042,818,804,225
  5. Step 5: Solve for x
    x = 1,042,818,804,225/665,886
  6. Step 6: Final answer
    x = 1,566,062.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.