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Finding the Third Proportional to 443,823,504 and 706,833,180

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Solution

The third proportional to 443,823,504 and 706,833,180 is: 1,125,702,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,823,504 : 706,833,180 = 706,833,180 : x
  2. Step 2: Convert to fraction form
    443,823,504/706,833,180 = 706,833,180/x
  3. Step 3: Cross multiply
    443,823,504x = 706,833,180 × 706,833,180
  4. Step 4: Simplify right side
    443,823,504x = 499,613,144,348,912,384
  5. Step 5: Solve for x
    x = 499,613,144,348,912,384/443,823,504
  6. Step 6: Final answer
    x = 1,125,702,311.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.