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Finding the Third Proportional to 430,116 and 971,225

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Solution

The third proportional to 430,116 and 971,225 is: 2,193,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,116 : 971,225 = 971,225 : x
  2. Step 2: Convert to fraction form
    430,116/971,225 = 971,225/x
  3. Step 3: Cross multiply
    430,116x = 971,225 × 971,225
  4. Step 4: Simplify right side
    430,116x = 943,278,000,625
  5. Step 5: Solve for x
    x = 943,278,000,625/430,116
  6. Step 6: Final answer
    x = 2,193,078.15

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.