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Finding the Third Proportional to 507,664 and 1,128,800

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Solution

The third proportional to 507,664 and 1,128,800 is: 2,509,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,664 : 1,128,800 = 1,128,800 : x
  2. Step 2: Convert to fraction form
    507,664/1,128,800 = 1,128,800/x
  3. Step 3: Cross multiply
    507,664x = 1,128,800 × 1,128,800
  4. Step 4: Simplify right side
    507,664x = 1,274,189,440,000
  5. Step 5: Solve for x
    x = 1,274,189,440,000/507,664
  6. Step 6: Final answer
    x = 2,509,907.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.