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Finding the Third Proportional to 411,070,906 and 559,903,743

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Solution

The third proportional to 411,070,906 and 559,903,743 is: 762,623,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,070,906 : 559,903,743 = 559,903,743 : x
  2. Step 2: Convert to fraction form
    411,070,906/559,903,743 = 559,903,743/x
  3. Step 3: Cross multiply
    411,070,906x = 559,903,743 × 559,903,743
  4. Step 4: Simplify right side
    411,070,906x = 313,492,201,425,410,048
  5. Step 5: Solve for x
    x = 313,492,201,425,410,048/411,070,906
  6. Step 6: Final answer
    x = 762,623,179.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.