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Finding the Third Proportional to 375,724 and 886,038

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Solution

The third proportional to 375,724 and 886,038 is: 2,089,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,724 : 886,038 = 886,038 : x
  2. Step 2: Convert to fraction form
    375,724/886,038 = 886,038/x
  3. Step 3: Cross multiply
    375,724x = 886,038 × 886,038
  4. Step 4: Simplify right side
    375,724x = 785,063,337,444
  5. Step 5: Solve for x
    x = 785,063,337,444/375,724
  6. Step 6: Final answer
    x = 2,089,468.17

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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.