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Finding the Third Proportional to 595,020 and 906,488

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Solution

The third proportional to 595,020 and 906,488 is: 1,380,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,020 : 906,488 = 906,488 : x
  2. Step 2: Convert to fraction form
    595,020/906,488 = 906,488/x
  3. Step 3: Cross multiply
    595,020x = 906,488 × 906,488
  4. Step 4: Simplify right side
    595,020x = 821,720,494,144
  5. Step 5: Solve for x
    x = 821,720,494,144/595,020
  6. Step 6: Final answer
    x = 1,380,996.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.