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Finding the Third Proportional to 375,738 and 886,070

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Solution

The third proportional to 375,738 and 886,070 is: 2,089,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,738 : 886,070 = 886,070 : x
  2. Step 2: Convert to fraction form
    375,738/886,070 = 886,070/x
  3. Step 3: Cross multiply
    375,738x = 886,070 × 886,070
  4. Step 4: Simplify right side
    375,738x = 785,120,044,900
  5. Step 5: Solve for x
    x = 785,120,044,900/375,738
  6. Step 6: Final answer
    x = 2,089,541.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.