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Finding the Third Proportional to 501,974 and 978,730

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Solution

The third proportional to 501,974 and 978,730 is: 1,908,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,974 : 978,730 = 978,730 : x
  2. Step 2: Convert to fraction form
    501,974/978,730 = 978,730/x
  3. Step 3: Cross multiply
    501,974x = 978,730 × 978,730
  4. Step 4: Simplify right side
    501,974x = 957,912,412,900
  5. Step 5: Solve for x
    x = 957,912,412,900/501,974
  6. Step 6: Final answer
    x = 1,908,290.89

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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.