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Finding the Third Proportional to 540,530,139 and 842,397,512.06

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Solution

The third proportional to 540,530,139 and 842,397,512.06 is: 1,312,847,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,530,139 : 842,397,512.06 = 842,397,512.06 : x
  2. Step 2: Convert to fraction form
    540,530,139/842,397,512.06 = 842,397,512.06/x
  3. Step 3: Cross multiply
    540,530,139x = 842,397,512.06 × 842,397,512.06
  4. Step 4: Simplify right side
    540,530,139x = 709,633,568,329,089,792
  5. Step 5: Solve for x
    x = 709,633,568,329,089,792/540,530,139
  6. Step 6: Final answer
    x = 1,312,847,364.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.