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Finding the Third Proportional to 388,584,546 and 841,739,268

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Solution

The third proportional to 388,584,546 and 841,739,268 is: 1,823,348,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,584,546 : 841,739,268 = 841,739,268 : x
  2. Step 2: Convert to fraction form
    388,584,546/841,739,268 = 841,739,268/x
  3. Step 3: Cross multiply
    388,584,546x = 841,739,268 × 841,739,268
  4. Step 4: Simplify right side
    388,584,546x = 708,524,995,293,175,808
  5. Step 5: Solve for x
    x = 708,524,995,293,175,808/388,584,546
  6. Step 6: Final answer
    x = 1,823,348,361.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.