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Finding the Third Proportional to 919,856 and 2,010,712

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Solution

The third proportional to 919,856 and 2,010,712 is: 4,395,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,856 : 2,010,712 = 2,010,712 : x
  2. Step 2: Convert to fraction form
    919,856/2,010,712 = 2,010,712/x
  3. Step 3: Cross multiply
    919,856x = 2,010,712 × 2,010,712
  4. Step 4: Simplify right side
    919,856x = 4,042,962,746,944
  5. Step 5: Solve for x
    x = 4,042,962,746,944/919,856
  6. Step 6: Final answer
    x = 4,395,212.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.