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Finding the Third Proportional to 539,077,720.50 and 828,089,385.75

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Solution

The third proportional to 539,077,720.50 and 828,089,385.75 is: 1,272,046,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,077,720.50 : 828,089,385.75 = 828,089,385.75 : x
  2. Step 2: Convert to fraction form
    539,077,720.50/828,089,385.75 = 828,089,385.75/x
  3. Step 3: Cross multiply
    539,077,720.50x = 828,089,385.75 × 828,089,385.75
  4. Step 4: Simplify right side
    539,077,720.50x = 685,732,030,791,812,352
  5. Step 5: Solve for x
    x = 685,732,030,791,812,352/539,077,720.50
  6. Step 6: Final answer
    x = 1,272,046,691.44

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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.