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Finding the Third Proportional to 572,670 and 1,208,034

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Solution

The third proportional to 572,670 and 1,208,034 is: 2,548,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,670 : 1,208,034 = 1,208,034 : x
  2. Step 2: Convert to fraction form
    572,670/1,208,034 = 1,208,034/x
  3. Step 3: Cross multiply
    572,670x = 1,208,034 × 1,208,034
  4. Step 4: Simplify right side
    572,670x = 1,459,346,145,156
  5. Step 5: Solve for x
    x = 1,459,346,145,156/572,670
  6. Step 6: Final answer
    x = 2,548,319.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.