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Finding the Third Proportional to 450,544 and 975,444

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Solution

The third proportional to 450,544 and 975,444 is: 2,111,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,544 : 975,444 = 975,444 : x
  2. Step 2: Convert to fraction form
    450,544/975,444 = 975,444/x
  3. Step 3: Cross multiply
    450,544x = 975,444 × 975,444
  4. Step 4: Simplify right side
    450,544x = 951,490,997,136
  5. Step 5: Solve for x
    x = 951,490,997,136/450,544
  6. Step 6: Final answer
    x = 2,111,871.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.