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Finding the Third Proportional to 437,445 and 957,186

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Solution

The third proportional to 437,445 and 957,186 is: 2,094,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,445 : 957,186 = 957,186 : x
  2. Step 2: Convert to fraction form
    437,445/957,186 = 957,186/x
  3. Step 3: Cross multiply
    437,445x = 957,186 × 957,186
  4. Step 4: Simplify right side
    437,445x = 916,205,038,596
  5. Step 5: Solve for x
    x = 916,205,038,596/437,445
  6. Step 6: Final answer
    x = 2,094,446.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.