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Finding the Third Proportional to 1,576,098 and 2,496,096

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Solution

The third proportional to 1,576,098 and 2,496,096 is: 3,953,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,098 : 2,496,096 = 2,496,096 : x
  2. Step 2: Convert to fraction form
    1,576,098/2,496,096 = 2,496,096/x
  3. Step 3: Cross multiply
    1,576,098x = 2,496,096 × 2,496,096
  4. Step 4: Simplify right side
    1,576,098x = 6,230,495,241,216
  5. Step 5: Solve for x
    x = 6,230,495,241,216/1,576,098
  6. Step 6: Final answer
    x = 3,953,114.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.