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Finding the Third Proportional to 443,704 and 971,354

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Solution

The third proportional to 443,704 and 971,354 is: 2,126,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,704 : 971,354 = 971,354 : x
  2. Step 2: Convert to fraction form
    443,704/971,354 = 971,354/x
  3. Step 3: Cross multiply
    443,704x = 971,354 × 971,354
  4. Step 4: Simplify right side
    443,704x = 943,528,593,316
  5. Step 5: Solve for x
    x = 943,528,593,316/443,704
  6. Step 6: Final answer
    x = 2,126,482.05

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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.