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Finding the Third Proportional to 597,168,736 and 934,725,444

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Solution

The third proportional to 597,168,736 and 934,725,444 is: 1,463,090,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,168,736 : 934,725,444 = 934,725,444 : x
  2. Step 2: Convert to fraction form
    597,168,736/934,725,444 = 934,725,444/x
  3. Step 3: Cross multiply
    597,168,736x = 934,725,444 × 934,725,444
  4. Step 4: Simplify right side
    597,168,736x = 873,711,655,660,997,120
  5. Step 5: Solve for x
    x = 873,711,655,660,997,120/597,168,736
  6. Step 6: Final answer
    x = 1,463,090,083.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.