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Finding the Third Proportional to 447,507 and 978,302

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Solution

The third proportional to 447,507 and 978,302 is: 2,138,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,507 : 978,302 = 978,302 : x
  2. Step 2: Convert to fraction form
    447,507/978,302 = 978,302/x
  3. Step 3: Cross multiply
    447,507x = 978,302 × 978,302
  4. Step 4: Simplify right side
    447,507x = 957,074,803,204
  5. Step 5: Solve for x
    x = 957,074,803,204/447,507
  6. Step 6: Final answer
    x = 2,138,681.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.