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Finding the Third Proportional to 581,736 and 1,256,861

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Solution

The third proportional to 581,736 and 1,256,861 is: 2,715,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,736 : 1,256,861 = 1,256,861 : x
  2. Step 2: Convert to fraction form
    581,736/1,256,861 = 1,256,861/x
  3. Step 3: Cross multiply
    581,736x = 1,256,861 × 1,256,861
  4. Step 4: Simplify right side
    581,736x = 1,579,699,573,321
  5. Step 5: Solve for x
    x = 1,579,699,573,321/581,736
  6. Step 6: Final answer
    x = 2,715,492.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.