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Finding the Third Proportional to 590,469 and 1,590,618

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Solution

The third proportional to 590,469 and 1,590,618 is: 4,284,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,469 : 1,590,618 = 1,590,618 : x
  2. Step 2: Convert to fraction form
    590,469/1,590,618 = 1,590,618/x
  3. Step 3: Cross multiply
    590,469x = 1,590,618 × 1,590,618
  4. Step 4: Simplify right side
    590,469x = 2,530,065,621,924
  5. Step 5: Solve for x
    x = 2,530,065,621,924/590,469
  6. Step 6: Final answer
    x = 4,284,840.73

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.