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Finding the Third Proportional to 597,645 and 888,003

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Solution

The third proportional to 597,645 and 888,003 is: 1,319,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,645 : 888,003 = 888,003 : x
  2. Step 2: Convert to fraction form
    597,645/888,003 = 888,003/x
  3. Step 3: Cross multiply
    597,645x = 888,003 × 888,003
  4. Step 4: Simplify right side
    597,645x = 788,549,328,009
  5. Step 5: Solve for x
    x = 788,549,328,009/597,645
  6. Step 6: Final answer
    x = 1,319,427.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.