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Finding the Third Proportional to 581,461 and 853,054

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Solution

The third proportional to 581,461 and 853,054 is: 1,251,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,461 : 853,054 = 853,054 : x
  2. Step 2: Convert to fraction form
    581,461/853,054 = 853,054/x
  3. Step 3: Cross multiply
    581,461x = 853,054 × 853,054
  4. Step 4: Simplify right side
    581,461x = 727,701,126,916
  5. Step 5: Solve for x
    x = 727,701,126,916/581,461
  6. Step 6: Final answer
    x = 1,251,504.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.