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Finding the Third Proportional to 416,994 and 910,464

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Solution

The third proportional to 416,994 and 910,464 is: 1,987,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,994 : 910,464 = 910,464 : x
  2. Step 2: Convert to fraction form
    416,994/910,464 = 910,464/x
  3. Step 3: Cross multiply
    416,994x = 910,464 × 910,464
  4. Step 4: Simplify right side
    416,994x = 828,944,695,296
  5. Step 5: Solve for x
    x = 828,944,695,296/416,994
  6. Step 6: Final answer
    x = 1,987,905.57

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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.