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Finding the Third Proportional to 567,494,229 and 798,808,689

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Solution

The third proportional to 567,494,229 and 798,808,689 is: 1,124,408,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,494,229 : 798,808,689 = 798,808,689 : x
  2. Step 2: Convert to fraction form
    567,494,229/798,808,689 = 798,808,689/x
  3. Step 3: Cross multiply
    567,494,229x = 798,808,689 × 798,808,689
  4. Step 4: Simplify right side
    567,494,229x = 638,095,321,621,898,752
  5. Step 5: Solve for x
    x = 638,095,321,621,898,752/567,494,229
  6. Step 6: Final answer
    x = 1,124,408,476.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.