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Finding the Third Proportional to 405,254,801 and 955,703,412

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Solution

The third proportional to 405,254,801 and 955,703,412 is: 2,253,814,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,254,801 : 955,703,412 = 955,703,412 : x
  2. Step 2: Convert to fraction form
    405,254,801/955,703,412 = 955,703,412/x
  3. Step 3: Cross multiply
    405,254,801x = 955,703,412 × 955,703,412
  4. Step 4: Simplify right side
    405,254,801x = 913,369,011,708,441,728
  5. Step 5: Solve for x
    x = 913,369,011,708,441,728/405,254,801
  6. Step 6: Final answer
    x = 2,253,814,166.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.