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Finding the Third Proportional to 569,849 and 902,341

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Solution

The third proportional to 569,849 and 902,341 is: 1,428,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,849 : 902,341 = 902,341 : x
  2. Step 2: Convert to fraction form
    569,849/902,341 = 902,341/x
  3. Step 3: Cross multiply
    569,849x = 902,341 × 902,341
  4. Step 4: Simplify right side
    569,849x = 814,219,280,281
  5. Step 5: Solve for x
    x = 814,219,280,281/569,849
  6. Step 6: Final answer
    x = 1,428,833.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.