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Finding the Third Proportional to 453,618 and 964,584

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Solution

The third proportional to 453,618 and 964,584 is: 2,051,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,618 : 964,584 = 964,584 : x
  2. Step 2: Convert to fraction form
    453,618/964,584 = 964,584/x
  3. Step 3: Cross multiply
    453,618x = 964,584 × 964,584
  4. Step 4: Simplify right side
    453,618x = 930,422,293,056
  5. Step 5: Solve for x
    x = 930,422,293,056/453,618
  6. Step 6: Final answer
    x = 2,051,114.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.