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Finding the Third Proportional to 458,697 and 1,036,319

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Solution

The third proportional to 458,697 and 1,036,319 is: 2,341,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,697 : 1,036,319 = 1,036,319 : x
  2. Step 2: Convert to fraction form
    458,697/1,036,319 = 1,036,319/x
  3. Step 3: Cross multiply
    458,697x = 1,036,319 × 1,036,319
  4. Step 4: Simplify right side
    458,697x = 1,073,957,069,761
  5. Step 5: Solve for x
    x = 1,073,957,069,761/458,697
  6. Step 6: Final answer
    x = 2,341,321.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.