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Finding the Third Proportional to 575,910 and 904,689

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Solution

The third proportional to 575,910 and 904,689 is: 1,421,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,910 : 904,689 = 904,689 : x
  2. Step 2: Convert to fraction form
    575,910/904,689 = 904,689/x
  3. Step 3: Cross multiply
    575,910x = 904,689 × 904,689
  4. Step 4: Simplify right side
    575,910x = 818,462,186,721
  5. Step 5: Solve for x
    x = 818,462,186,721/575,910
  6. Step 6: Final answer
    x = 1,421,163.35

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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.