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Finding the Third Proportional to 436,985 and 953,407

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Solution

The third proportional to 436,985 and 953,407 is: 2,080,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,985 : 953,407 = 953,407 : x
  2. Step 2: Convert to fraction form
    436,985/953,407 = 953,407/x
  3. Step 3: Cross multiply
    436,985x = 953,407 × 953,407
  4. Step 4: Simplify right side
    436,985x = 908,984,907,649
  5. Step 5: Solve for x
    x = 908,984,907,649/436,985
  6. Step 6: Final answer
    x = 2,080,128.40

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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.