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Finding the Third Proportional to 591,386 and 904,816

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Solution

The third proportional to 591,386 and 904,816 is: 1,384,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,386 : 904,816 = 904,816 : x
  2. Step 2: Convert to fraction form
    591,386/904,816 = 904,816/x
  3. Step 3: Cross multiply
    591,386x = 904,816 × 904,816
  4. Step 4: Simplify right side
    591,386x = 818,691,993,856
  5. Step 5: Solve for x
    x = 818,691,993,856/591,386
  6. Step 6: Final answer
    x = 1,384,361.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.