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Finding the Third Proportional to 634,364 and 971,639

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Solution

The third proportional to 634,364 and 971,639 is: 1,488,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,364 : 971,639 = 971,639 : x
  2. Step 2: Convert to fraction form
    634,364/971,639 = 971,639/x
  3. Step 3: Cross multiply
    634,364x = 971,639 × 971,639
  4. Step 4: Simplify right side
    634,364x = 944,082,346,321
  5. Step 5: Solve for x
    x = 944,082,346,321/634,364
  6. Step 6: Final answer
    x = 1,488,234.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.