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Finding the Third Proportional to 575,849 and 901,281

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Solution

The third proportional to 575,849 and 901,281 is: 1,410,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,849 : 901,281 = 901,281 : x
  2. Step 2: Convert to fraction form
    575,849/901,281 = 901,281/x
  3. Step 3: Cross multiply
    575,849x = 901,281 × 901,281
  4. Step 4: Simplify right side
    575,849x = 812,307,440,961
  5. Step 5: Solve for x
    x = 812,307,440,961/575,849
  6. Step 6: Final answer
    x = 1,410,625.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.