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Finding the Third Proportional to 416,439 and 899,091

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Solution

The third proportional to 416,439 and 899,091 is: 1,941,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,439 : 899,091 = 899,091 : x
  2. Step 2: Convert to fraction form
    416,439/899,091 = 899,091/x
  3. Step 3: Cross multiply
    416,439x = 899,091 × 899,091
  4. Step 4: Simplify right side
    416,439x = 808,364,626,281
  5. Step 5: Solve for x
    x = 808,364,626,281/416,439
  6. Step 6: Final answer
    x = 1,941,135.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.