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Finding the Third Proportional to 507,441 and 1,050,851

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Solution

The third proportional to 507,441 and 1,050,851 is: 2,176,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,441 : 1,050,851 = 1,050,851 : x
  2. Step 2: Convert to fraction form
    507,441/1,050,851 = 1,050,851/x
  3. Step 3: Cross multiply
    507,441x = 1,050,851 × 1,050,851
  4. Step 4: Simplify right side
    507,441x = 1,104,287,824,201
  5. Step 5: Solve for x
    x = 1,104,287,824,201/507,441
  6. Step 6: Final answer
    x = 2,176,189.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.