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Finding the Third Proportional to 581,340 and 1,298,736

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Solution

The third proportional to 581,340 and 1,298,736 is: 2,901,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,340 : 1,298,736 = 1,298,736 : x
  2. Step 2: Convert to fraction form
    581,340/1,298,736 = 1,298,736/x
  3. Step 3: Cross multiply
    581,340x = 1,298,736 × 1,298,736
  4. Step 4: Simplify right side
    581,340x = 1,686,715,197,696
  5. Step 5: Solve for x
    x = 1,686,715,197,696/581,340
  6. Step 6: Final answer
    x = 2,901,426.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.