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Finding the Third Proportional to 1,377,328 and 2,975,968

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Solution

The third proportional to 1,377,328 and 2,975,968 is: 6,430,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,328 : 2,975,968 = 2,975,968 : x
  2. Step 2: Convert to fraction form
    1,377,328/2,975,968 = 2,975,968/x
  3. Step 3: Cross multiply
    1,377,328x = 2,975,968 × 2,975,968
  4. Step 4: Simplify right side
    1,377,328x = 8,856,385,537,024
  5. Step 5: Solve for x
    x = 8,856,385,537,024/1,377,328
  6. Step 6: Final answer
    x = 6,430,120.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.