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Finding the Third Proportional to 416,884 and 911,528

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Solution

The third proportional to 416,884 and 911,528 is: 1,993,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,884 : 911,528 = 911,528 : x
  2. Step 2: Convert to fraction form
    416,884/911,528 = 911,528/x
  3. Step 3: Cross multiply
    416,884x = 911,528 × 911,528
  4. Step 4: Simplify right side
    416,884x = 830,883,294,784
  5. Step 5: Solve for x
    x = 830,883,294,784/416,884
  6. Step 6: Final answer
    x = 1,993,080.32

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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.