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Finding the Third Proportional to 443,752 and 971,915

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Solution

The third proportional to 443,752 and 971,915 is: 2,128,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,752 : 971,915 = 971,915 : x
  2. Step 2: Convert to fraction form
    443,752/971,915 = 971,915/x
  3. Step 3: Cross multiply
    443,752x = 971,915 × 971,915
  4. Step 4: Simplify right side
    443,752x = 944,618,767,225
  5. Step 5: Solve for x
    x = 944,618,767,225/443,752
  6. Step 6: Final answer
    x = 2,128,708.75

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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.