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Finding the Third Proportional to 592,424 and 1,289,968

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Solution

The third proportional to 592,424 and 1,289,968 is: 2,808,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,424 : 1,289,968 = 1,289,968 : x
  2. Step 2: Convert to fraction form
    592,424/1,289,968 = 1,289,968/x
  3. Step 3: Cross multiply
    592,424x = 1,289,968 × 1,289,968
  4. Step 4: Simplify right side
    592,424x = 1,664,017,441,024
  5. Step 5: Solve for x
    x = 1,664,017,441,024/592,424
  6. Step 6: Final answer
    x = 2,808,828.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.