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Finding the Third Proportional to 590,365 and 1,266,734

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Solution

The third proportional to 590,365 and 1,266,734 is: 2,718,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,365 : 1,266,734 = 1,266,734 : x
  2. Step 2: Convert to fraction form
    590,365/1,266,734 = 1,266,734/x
  3. Step 3: Cross multiply
    590,365x = 1,266,734 × 1,266,734
  4. Step 4: Simplify right side
    590,365x = 1,604,615,026,756
  5. Step 5: Solve for x
    x = 1,604,615,026,756/590,365
  6. Step 6: Final answer
    x = 2,718,005.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.