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Finding the Third Proportional to 453,618 and 986,052

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Solution

The third proportional to 453,618 and 986,052 is: 2,143,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,618 : 986,052 = 986,052 : x
  2. Step 2: Convert to fraction form
    453,618/986,052 = 986,052/x
  3. Step 3: Cross multiply
    453,618x = 986,052 × 986,052
  4. Step 4: Simplify right side
    453,618x = 972,298,546,704
  5. Step 5: Solve for x
    x = 972,298,546,704/453,618
  6. Step 6: Final answer
    x = 2,143,430.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.