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Finding the Third Proportional to 416,784 and 910,629

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Solution

The third proportional to 416,784 and 910,629 is: 1,989,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,784 : 910,629 = 910,629 : x
  2. Step 2: Convert to fraction form
    416,784/910,629 = 910,629/x
  3. Step 3: Cross multiply
    416,784x = 910,629 × 910,629
  4. Step 4: Simplify right side
    416,784x = 829,245,175,641
  5. Step 5: Solve for x
    x = 829,245,175,641/416,784
  6. Step 6: Final answer
    x = 1,989,628.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.