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Finding the Third Proportional to 440,935 and 955,117

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Solution

The third proportional to 440,935 and 955,117 is: 2,068,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,935 : 955,117 = 955,117 : x
  2. Step 2: Convert to fraction form
    440,935/955,117 = 955,117/x
  3. Step 3: Cross multiply
    440,935x = 955,117 × 955,117
  4. Step 4: Simplify right side
    440,935x = 912,248,483,689
  5. Step 5: Solve for x
    x = 912,248,483,689/440,935
  6. Step 6: Final answer
    x = 2,068,895.61

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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.