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Finding the Third Proportional to 539,078,805 and 828,090,990

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Solution

The third proportional to 539,078,805 and 828,090,990 is: 1,272,049,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,078,805 : 828,090,990 = 828,090,990 : x
  2. Step 2: Convert to fraction form
    539,078,805/828,090,990 = 828,090,990/x
  3. Step 3: Cross multiply
    539,078,805x = 828,090,990 × 828,090,990
  4. Step 4: Simplify right side
    539,078,805x = 685,734,687,719,180,160
  5. Step 5: Solve for x
    x = 685,734,687,719,180,160/539,078,805
  6. Step 6: Final answer
    x = 1,272,049,061.03

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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.