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Finding the Third Proportional to 458,514 and 1,010,340

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Solution

The third proportional to 458,514 and 1,010,340 is: 2,226,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,514 : 1,010,340 = 1,010,340 : x
  2. Step 2: Convert to fraction form
    458,514/1,010,340 = 1,010,340/x
  3. Step 3: Cross multiply
    458,514x = 1,010,340 × 1,010,340
  4. Step 4: Simplify right side
    458,514x = 1,020,786,915,600
  5. Step 5: Solve for x
    x = 1,020,786,915,600/458,514
  6. Step 6: Final answer
    x = 2,226,293.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.