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Finding the Third Proportional to 464,262 and 1,004,556

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Solution

The third proportional to 464,262 and 1,004,556 is: 2,173,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,262 : 1,004,556 = 1,004,556 : x
  2. Step 2: Convert to fraction form
    464,262/1,004,556 = 1,004,556/x
  3. Step 3: Cross multiply
    464,262x = 1,004,556 × 1,004,556
  4. Step 4: Simplify right side
    464,262x = 1,009,132,757,136
  5. Step 5: Solve for x
    x = 1,009,132,757,136/464,262
  6. Step 6: Final answer
    x = 2,173,627.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.