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Finding the Third Proportional to 446,486 and 978,473

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Solution

The third proportional to 446,486 and 978,473 is: 2,144,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,486 : 978,473 = 978,473 : x
  2. Step 2: Convert to fraction form
    446,486/978,473 = 978,473/x
  3. Step 3: Cross multiply
    446,486x = 978,473 × 978,473
  4. Step 4: Simplify right side
    446,486x = 957,409,411,729
  5. Step 5: Solve for x
    x = 957,409,411,729/446,486
  6. Step 6: Final answer
    x = 2,144,321.24

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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.