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Finding the Third Proportional to 454,270 and 983,770

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Solution

The third proportional to 454,270 and 983,770 is: 2,130,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,270 : 983,770 = 983,770 : x
  2. Step 2: Convert to fraction form
    454,270/983,770 = 983,770/x
  3. Step 3: Cross multiply
    454,270x = 983,770 × 983,770
  4. Step 4: Simplify right side
    454,270x = 967,803,412,900
  5. Step 5: Solve for x
    x = 967,803,412,900/454,270
  6. Step 6: Final answer
    x = 2,130,458.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.