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Finding the Third Proportional to 572,820 and 1,255,812

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Solution

The third proportional to 572,820 and 1,255,812 is: 2,753,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,820 : 1,255,812 = 1,255,812 : x
  2. Step 2: Convert to fraction form
    572,820/1,255,812 = 1,255,812/x
  3. Step 3: Cross multiply
    572,820x = 1,255,812 × 1,255,812
  4. Step 4: Simplify right side
    572,820x = 1,577,063,779,344
  5. Step 5: Solve for x
    x = 1,577,063,779,344/572,820
  6. Step 6: Final answer
    x = 2,753,157.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.