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Finding the Third Proportional to 539,077,732 and 828,089,401

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Solution

The third proportional to 539,077,732 and 828,089,401 is: 1,272,046,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,077,732 : 828,089,401 = 828,089,401 : x
  2. Step 2: Convert to fraction form
    539,077,732/828,089,401 = 828,089,401/x
  3. Step 3: Cross multiply
    539,077,732x = 828,089,401 × 828,089,401
  4. Step 4: Simplify right side
    539,077,732x = 685,732,056,048,538,752
  5. Step 5: Solve for x
    x = 685,732,056,048,538,752/539,077,732
  6. Step 6: Final answer
    x = 1,272,046,711.16

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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.