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Finding the Third Proportional to 540,319 and 1,250,742

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Solution

The third proportional to 540,319 and 1,250,742 is: 2,895,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,319 : 1,250,742 = 1,250,742 : x
  2. Step 2: Convert to fraction form
    540,319/1,250,742 = 1,250,742/x
  3. Step 3: Cross multiply
    540,319x = 1,250,742 × 1,250,742
  4. Step 4: Simplify right side
    540,319x = 1,564,355,550,564
  5. Step 5: Solve for x
    x = 1,564,355,550,564/540,319
  6. Step 6: Final answer
    x = 2,895,244.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.