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Finding the Third Proportional to 905,496 and 1,225,380

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Solution

The third proportional to 905,496 and 1,225,380 is: 1,658,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,496 : 1,225,380 = 1,225,380 : x
  2. Step 2: Convert to fraction form
    905,496/1,225,380 = 1,225,380/x
  3. Step 3: Cross multiply
    905,496x = 1,225,380 × 1,225,380
  4. Step 4: Simplify right side
    905,496x = 1,501,556,144,400
  5. Step 5: Solve for x
    x = 1,501,556,144,400/905,496
  6. Step 6: Final answer
    x = 1,658,269.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.