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Finding the Third Proportional to 758,376 and 1,610,064

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Solution

The third proportional to 758,376 and 1,610,064 is: 3,418,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,376 : 1,610,064 = 1,610,064 : x
  2. Step 2: Convert to fraction form
    758,376/1,610,064 = 1,610,064/x
  3. Step 3: Cross multiply
    758,376x = 1,610,064 × 1,610,064
  4. Step 4: Simplify right side
    758,376x = 2,592,306,084,096
  5. Step 5: Solve for x
    x = 2,592,306,084,096/758,376
  6. Step 6: Final answer
    x = 3,418,233.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.