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Finding the Third Proportional to 434,983 and 955,071

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Solution

The third proportional to 434,983 and 955,071 is: 2,097,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,983 : 955,071 = 955,071 : x
  2. Step 2: Convert to fraction form
    434,983/955,071 = 955,071/x
  3. Step 3: Cross multiply
    434,983x = 955,071 × 955,071
  4. Step 4: Simplify right side
    434,983x = 912,160,615,041
  5. Step 5: Solve for x
    x = 912,160,615,041/434,983
  6. Step 6: Final answer
    x = 2,097,002.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.