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Finding the Third Proportional to 403,875 and 886,086

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Solution

The third proportional to 403,875 and 886,086 is: 1,944,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,875 : 886,086 = 886,086 : x
  2. Step 2: Convert to fraction form
    403,875/886,086 = 886,086/x
  3. Step 3: Cross multiply
    403,875x = 886,086 × 886,086
  4. Step 4: Simplify right side
    403,875x = 785,148,399,396
  5. Step 5: Solve for x
    x = 785,148,399,396/403,875
  6. Step 6: Final answer
    x = 1,944,038.13

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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.