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Finding the Third Proportional to 436,989 and 953,421

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Solution

The third proportional to 436,989 and 953,421 is: 2,080,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,989 : 953,421 = 953,421 : x
  2. Step 2: Convert to fraction form
    436,989/953,421 = 953,421/x
  3. Step 3: Cross multiply
    436,989x = 953,421 × 953,421
  4. Step 4: Simplify right side
    436,989x = 909,011,603,241
  5. Step 5: Solve for x
    x = 909,011,603,241/436,989
  6. Step 6: Final answer
    x = 2,080,170.45

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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.