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Finding the Third Proportional to 595,060 and 906,533

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Solution

The third proportional to 595,060 and 906,533 is: 1,381,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,060 : 906,533 = 906,533 : x
  2. Step 2: Convert to fraction form
    595,060/906,533 = 906,533/x
  3. Step 3: Cross multiply
    595,060x = 906,533 × 906,533
  4. Step 4: Simplify right side
    595,060x = 821,802,080,089
  5. Step 5: Solve for x
    x = 821,802,080,089/595,060
  6. Step 6: Final answer
    x = 1,381,040.70

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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.