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Finding the Third Proportional to 665,454 and 1,023,883

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Solution

The third proportional to 665,454 and 1,023,883 is: 1,575,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,454 : 1,023,883 = 1,023,883 : x
  2. Step 2: Convert to fraction form
    665,454/1,023,883 = 1,023,883/x
  3. Step 3: Cross multiply
    665,454x = 1,023,883 × 1,023,883
  4. Step 4: Simplify right side
    665,454x = 1,048,336,397,689
  5. Step 5: Solve for x
    x = 1,048,336,397,689/665,454
  6. Step 6: Final answer
    x = 1,575,370.19

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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.