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Finding the Third Proportional to 581,654 and 873,097

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Solution

The third proportional to 581,654 and 873,097 is: 1,310,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,654 : 873,097 = 873,097 : x
  2. Step 2: Convert to fraction form
    581,654/873,097 = 873,097/x
  3. Step 3: Cross multiply
    581,654x = 873,097 × 873,097
  4. Step 4: Simplify right side
    581,654x = 762,298,371,409
  5. Step 5: Solve for x
    x = 762,298,371,409/581,654
  6. Step 6: Final answer
    x = 1,310,570.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.