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Finding the Third Proportional to 569,298,717 and 860,013,720

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Solution

The third proportional to 569,298,717 and 860,013,720 is: 1,299,183,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,298,717 : 860,013,720 = 860,013,720 : x
  2. Step 2: Convert to fraction form
    569,298,717/860,013,720 = 860,013,720/x
  3. Step 3: Cross multiply
    569,298,717x = 860,013,720 × 860,013,720
  4. Step 4: Simplify right side
    569,298,717x = 739,623,598,588,238,336
  5. Step 5: Solve for x
    x = 739,623,598,588,238,336/569,298,717
  6. Step 6: Final answer
    x = 1,299,183,673.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.