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Finding the Third Proportional to 856,046 and 1,822,684

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Solution

The third proportional to 856,046 and 1,822,684 is: 3,880,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,046 : 1,822,684 = 1,822,684 : x
  2. Step 2: Convert to fraction form
    856,046/1,822,684 = 1,822,684/x
  3. Step 3: Cross multiply
    856,046x = 1,822,684 × 1,822,684
  4. Step 4: Simplify right side
    856,046x = 3,322,176,963,856
  5. Step 5: Solve for x
    x = 3,322,176,963,856/856,046
  6. Step 6: Final answer
    x = 3,880,839.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.