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Finding the Third Proportional to 592,575 and 894,021

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Solution

The third proportional to 592,575 and 894,021 is: 1,348,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,575 : 894,021 = 894,021 : x
  2. Step 2: Convert to fraction form
    592,575/894,021 = 894,021/x
  3. Step 3: Cross multiply
    592,575x = 894,021 × 894,021
  4. Step 4: Simplify right side
    592,575x = 799,273,548,441
  5. Step 5: Solve for x
    x = 799,273,548,441/592,575
  6. Step 6: Final answer
    x = 1,348,814.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.