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Finding the Third Proportional to 489,294 and 1,060,014

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Solution

The third proportional to 489,294 and 1,060,014 is: 2,296,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,294 : 1,060,014 = 1,060,014 : x
  2. Step 2: Convert to fraction form
    489,294/1,060,014 = 1,060,014/x
  3. Step 3: Cross multiply
    489,294x = 1,060,014 × 1,060,014
  4. Step 4: Simplify right side
    489,294x = 1,123,629,680,196
  5. Step 5: Solve for x
    x = 1,123,629,680,196/489,294
  6. Step 6: Final answer
    x = 2,296,430.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.