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Finding the Third Proportional to 388,419,117 and 832,240,878

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Solution

The third proportional to 388,419,117 and 832,240,878 is: 1,783,189,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,419,117 : 832,240,878 = 832,240,878 : x
  2. Step 2: Convert to fraction form
    388,419,117/832,240,878 = 832,240,878/x
  3. Step 3: Cross multiply
    388,419,117x = 832,240,878 × 832,240,878
  4. Step 4: Simplify right side
    388,419,117x = 692,624,879,014,210,944
  5. Step 5: Solve for x
    x = 692,624,879,014,210,944/388,419,117
  6. Step 6: Final answer
    x = 1,783,189,469.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.