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Finding the Third Proportional to 665,292 and 1,017,896

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Solution

The third proportional to 665,292 and 1,017,896 is: 1,557,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,292 : 1,017,896 = 1,017,896 : x
  2. Step 2: Convert to fraction form
    665,292/1,017,896 = 1,017,896/x
  3. Step 3: Cross multiply
    665,292x = 1,017,896 × 1,017,896
  4. Step 4: Simplify right side
    665,292x = 1,036,112,266,816
  5. Step 5: Solve for x
    x = 1,036,112,266,816/665,292
  6. Step 6: Final answer
    x = 1,557,379.72

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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.