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Finding the Third Proportional to 407,861 and 882,922

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Solution

The third proportional to 407,861 and 882,922 is: 1,911,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,861 : 882,922 = 882,922 : x
  2. Step 2: Convert to fraction form
    407,861/882,922 = 882,922/x
  3. Step 3: Cross multiply
    407,861x = 882,922 × 882,922
  4. Step 4: Simplify right side
    407,861x = 779,551,258,084
  5. Step 5: Solve for x
    x = 779,551,258,084/407,861
  6. Step 6: Final answer
    x = 1,911,316.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.