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Finding the Third Proportional to 737,142 and 1,576,752

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Solution

The third proportional to 737,142 and 1,576,752 is: 3,372,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,142 : 1,576,752 = 1,576,752 : x
  2. Step 2: Convert to fraction form
    737,142/1,576,752 = 1,576,752/x
  3. Step 3: Cross multiply
    737,142x = 1,576,752 × 1,576,752
  4. Step 4: Simplify right side
    737,142x = 2,486,146,869,504
  5. Step 5: Solve for x
    x = 2,486,146,869,504/737,142
  6. Step 6: Final answer
    x = 3,372,683.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.