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Finding the Third Proportional to 905,476 and 1,225,350

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Solution

The third proportional to 905,476 and 1,225,350 is: 1,658,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,476 : 1,225,350 = 1,225,350 : x
  2. Step 2: Convert to fraction form
    905,476/1,225,350 = 1,225,350/x
  3. Step 3: Cross multiply
    905,476x = 1,225,350 × 1,225,350
  4. Step 4: Simplify right side
    905,476x = 1,501,482,622,500
  5. Step 5: Solve for x
    x = 1,501,482,622,500/905,476
  6. Step 6: Final answer
    x = 1,658,224.65

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Why These Related Problems?

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