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Finding the Third Proportional to 810,975,500 and 1,256,307,539

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Solution

The third proportional to 810,975,500 and 1,256,307,539 is: 1,946,185,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,975,500 : 1,256,307,539 = 1,256,307,539 : x
  2. Step 2: Convert to fraction form
    810,975,500/1,256,307,539 = 1,256,307,539/x
  3. Step 3: Cross multiply
    810,975,500x = 1,256,307,539 × 1,256,307,539
  4. Step 4: Simplify right side
    810,975,500x = 1,578,308,632,548,236,544
  5. Step 5: Solve for x
    x = 1,578,308,632,548,236,544/810,975,500
  6. Step 6: Final answer
    x = 1,946,185,344.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.