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Finding the Third Proportional to 448,340 and 971,371

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Solution

The third proportional to 448,340 and 971,371 is: 2,104,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,340 : 971,371 = 971,371 : x
  2. Step 2: Convert to fraction form
    448,340/971,371 = 971,371/x
  3. Step 3: Cross multiply
    448,340x = 971,371 × 971,371
  4. Step 4: Simplify right side
    448,340x = 943,561,619,641
  5. Step 5: Solve for x
    x = 943,561,619,641/448,340
  6. Step 6: Final answer
    x = 2,104,567.11

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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.