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Finding the Third Proportional to 634,366 and 971,642

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Solution

The third proportional to 634,366 and 971,642 is: 1,488,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,366 : 971,642 = 971,642 : x
  2. Step 2: Convert to fraction form
    634,366/971,642 = 971,642/x
  3. Step 3: Cross multiply
    634,366x = 971,642 × 971,642
  4. Step 4: Simplify right side
    634,366x = 944,088,176,164
  5. Step 5: Solve for x
    x = 944,088,176,164/634,366
  6. Step 6: Final answer
    x = 1,488,238.93

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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.