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Finding the Third Proportional to 665,458 and 1,023,889

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Solution

The third proportional to 665,458 and 1,023,889 is: 1,575,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,458 : 1,023,889 = 1,023,889 : x
  2. Step 2: Convert to fraction form
    665,458/1,023,889 = 1,023,889/x
  3. Step 3: Cross multiply
    665,458x = 1,023,889 × 1,023,889
  4. Step 4: Simplify right side
    665,458x = 1,048,348,684,321
  5. Step 5: Solve for x
    x = 1,048,348,684,321/665,458
  6. Step 6: Final answer
    x = 1,575,379.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.