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Finding the Third Proportional to 539,077,740.75 and 828,089,419.50

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Solution

The third proportional to 539,077,740.75 and 828,089,419.50 is: 1,272,046,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,077,740.75 : 828,089,419.50 = 828,089,419.50 : x
  2. Step 2: Convert to fraction form
    539,077,740.75/828,089,419.50 = 828,089,419.50/x
  3. Step 3: Cross multiply
    539,077,740.75x = 828,089,419.50 × 828,089,419.50
  4. Step 4: Simplify right side
    539,077,740.75x = 685,732,086,687,847,040
  5. Step 5: Solve for x
    x = 685,732,086,687,847,040/539,077,740.75
  6. Step 6: Final answer
    x = 1,272,046,747.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.