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Finding the Third Proportional to 455,890 and 1,055,304

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Solution

The third proportional to 455,890 and 1,055,304 is: 2,442,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,890 : 1,055,304 = 1,055,304 : x
  2. Step 2: Convert to fraction form
    455,890/1,055,304 = 1,055,304/x
  3. Step 3: Cross multiply
    455,890x = 1,055,304 × 1,055,304
  4. Step 4: Simplify right side
    455,890x = 1,113,666,532,416
  5. Step 5: Solve for x
    x = 1,113,666,532,416/455,890
  6. Step 6: Final answer
    x = 2,442,840.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.