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Finding the Third Proportional to 436,008 and 974,058

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Solution

The third proportional to 436,008 and 974,058 is: 2,176,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,008 : 974,058 = 974,058 : x
  2. Step 2: Convert to fraction form
    436,008/974,058 = 974,058/x
  3. Step 3: Cross multiply
    436,008x = 974,058 × 974,058
  4. Step 4: Simplify right side
    436,008x = 948,788,987,364
  5. Step 5: Solve for x
    x = 948,788,987,364/436,008
  6. Step 6: Final answer
    x = 2,176,081.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.