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Finding the Third Proportional to 634,420 and 971,724

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Solution

The third proportional to 634,420 and 971,724 is: 1,488,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,420 : 971,724 = 971,724 : x
  2. Step 2: Convert to fraction form
    634,420/971,724 = 971,724/x
  3. Step 3: Cross multiply
    634,420x = 971,724 × 971,724
  4. Step 4: Simplify right side
    634,420x = 944,247,532,176
  5. Step 5: Solve for x
    x = 944,247,532,176/634,420
  6. Step 6: Final answer
    x = 1,488,363.44

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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.