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Finding the Third Proportional to 414,113 and 887,284

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Solution

The third proportional to 414,113 and 887,284 is: 1,901,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,113 : 887,284 = 887,284 : x
  2. Step 2: Convert to fraction form
    414,113/887,284 = 887,284/x
  3. Step 3: Cross multiply
    414,113x = 887,284 × 887,284
  4. Step 4: Simplify right side
    414,113x = 787,272,896,656
  5. Step 5: Solve for x
    x = 787,272,896,656/414,113
  6. Step 6: Final answer
    x = 1,901,106.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.