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Finding the Third Proportional to 292,548,674 and 609,310,840

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Solution

The third proportional to 292,548,674 and 609,310,840 is: 1,269,052,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,548,674 : 609,310,840 = 609,310,840 : x
  2. Step 2: Convert to fraction form
    292,548,674/609,310,840 = 609,310,840/x
  3. Step 3: Cross multiply
    292,548,674x = 609,310,840 × 609,310,840
  4. Step 4: Simplify right side
    292,548,674x = 371,259,699,741,505,600
  5. Step 5: Solve for x
    x = 371,259,699,741,505,600/292,548,674
  6. Step 6: Final answer
    x = 1,269,052,751.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.