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Finding the Third Proportional to 403,970 and 878,878

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Solution

The third proportional to 403,970 and 878,878 is: 1,912,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,970 : 878,878 = 878,878 : x
  2. Step 2: Convert to fraction form
    403,970/878,878 = 878,878/x
  3. Step 3: Cross multiply
    403,970x = 878,878 × 878,878
  4. Step 4: Simplify right side
    403,970x = 772,426,538,884
  5. Step 5: Solve for x
    x = 772,426,538,884/403,970
  6. Step 6: Final answer
    x = 1,912,088.87

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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.