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Finding the Third Proportional to 589,698 and 883,618

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Solution

The third proportional to 589,698 and 883,618 is: 1,324,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,698 : 883,618 = 883,618 : x
  2. Step 2: Convert to fraction form
    589,698/883,618 = 883,618/x
  3. Step 3: Cross multiply
    589,698x = 883,618 × 883,618
  4. Step 4: Simplify right side
    589,698x = 780,780,769,924
  5. Step 5: Solve for x
    x = 780,780,769,924/589,698
  6. Step 6: Final answer
    x = 1,324,034.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.