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Finding the Third Proportional to 828,088 and 1,254,554

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Solution

The third proportional to 828,088 and 1,254,554 is: 1,900,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,088 : 1,254,554 = 1,254,554 : x
  2. Step 2: Convert to fraction form
    828,088/1,254,554 = 1,254,554/x
  3. Step 3: Cross multiply
    828,088x = 1,254,554 × 1,254,554
  4. Step 4: Simplify right side
    828,088x = 1,573,905,738,916
  5. Step 5: Solve for x
    x = 1,573,905,738,916/828,088
  6. Step 6: Final answer
    x = 1,900,650.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.