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Finding the Third Proportional to 892,560 and 1,962,024

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Solution

The third proportional to 892,560 and 1,962,024 is: 4,312,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,560 : 1,962,024 = 1,962,024 : x
  2. Step 2: Convert to fraction form
    892,560/1,962,024 = 1,962,024/x
  3. Step 3: Cross multiply
    892,560x = 1,962,024 × 1,962,024
  4. Step 4: Simplify right side
    892,560x = 3,849,538,176,576
  5. Step 5: Solve for x
    x = 3,849,538,176,576/892,560
  6. Step 6: Final answer
    x = 4,312,918.10

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Why These Related Problems?

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