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Finding the Third Proportional to 410,575,962 and 850,254,873

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Solution

The third proportional to 410,575,962 and 850,254,873 is: 1,760,778,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,575,962 : 850,254,873 = 850,254,873 : x
  2. Step 2: Convert to fraction form
    410,575,962/850,254,873 = 850,254,873/x
  3. Step 3: Cross multiply
    410,575,962x = 850,254,873 × 850,254,873
  4. Step 4: Simplify right side
    410,575,962x = 722,933,349,060,246,144
  5. Step 5: Solve for x
    x = 722,933,349,060,246,144/410,575,962
  6. Step 6: Final answer
    x = 1,760,778,554.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.