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Finding the Third Proportional to 916,906 and 1,416,911

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Solution

The third proportional to 916,906 and 1,416,911 is: 2,189,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,906 : 1,416,911 = 1,416,911 : x
  2. Step 2: Convert to fraction form
    916,906/1,416,911 = 1,416,911/x
  3. Step 3: Cross multiply
    916,906x = 1,416,911 × 1,416,911
  4. Step 4: Simplify right side
    916,906x = 2,007,636,781,921
  5. Step 5: Solve for x
    x = 2,007,636,781,921/916,906
  6. Step 6: Final answer
    x = 2,189,577.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.