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Finding the Third Proportional to 588,330 and 1,284,553

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Solution

The third proportional to 588,330 and 1,284,553 is: 2,804,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,330 : 1,284,553 = 1,284,553 : x
  2. Step 2: Convert to fraction form
    588,330/1,284,553 = 1,284,553/x
  3. Step 3: Cross multiply
    588,330x = 1,284,553 × 1,284,553
  4. Step 4: Simplify right side
    588,330x = 1,650,076,409,809
  5. Step 5: Solve for x
    x = 1,650,076,409,809/588,330
  6. Step 6: Final answer
    x = 2,804,678.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.