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Finding the Third Proportional to 448,236 and 971,190

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Solution

The third proportional to 448,236 and 971,190 is: 2,104,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,236 : 971,190 = 971,190 : x
  2. Step 2: Convert to fraction form
    448,236/971,190 = 971,190/x
  3. Step 3: Cross multiply
    448,236x = 971,190 × 971,190
  4. Step 4: Simplify right side
    448,236x = 943,210,016,100
  5. Step 5: Solve for x
    x = 943,210,016,100/448,236
  6. Step 6: Final answer
    x = 2,104,271.00

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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.