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Finding the Third Proportional to 501,981 and 978,740

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Solution

The third proportional to 501,981 and 978,740 is: 1,908,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,981 : 978,740 = 978,740 : x
  2. Step 2: Convert to fraction form
    501,981/978,740 = 978,740/x
  3. Step 3: Cross multiply
    501,981x = 978,740 × 978,740
  4. Step 4: Simplify right side
    501,981x = 957,931,987,600
  5. Step 5: Solve for x
    x = 957,931,987,600/501,981
  6. Step 6: Final answer
    x = 1,908,303.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.