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Finding the Third Proportional to 816,703,200 and 1,255,331,472

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Solution

The third proportional to 816,703,200 and 1,255,331,472 is: 1,929,534,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,703,200 : 1,255,331,472 = 1,255,331,472 : x
  2. Step 2: Convert to fraction form
    816,703,200/1,255,331,472 = 1,255,331,472/x
  3. Step 3: Cross multiply
    816,703,200x = 1,255,331,472 × 1,255,331,472
  4. Step 4: Simplify right side
    816,703,200x = 1,575,857,104,593,686,784
  5. Step 5: Solve for x
    x = 1,575,857,104,593,686,784/816,703,200
  6. Step 6: Final answer
    x = 1,929,534,627.26

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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.