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Finding the Third Proportional to 443,710 and 971,388

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Solution

The third proportional to 443,710 and 971,388 is: 2,126,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,710 : 971,388 = 971,388 : x
  2. Step 2: Convert to fraction form
    443,710/971,388 = 971,388/x
  3. Step 3: Cross multiply
    443,710x = 971,388 × 971,388
  4. Step 4: Simplify right side
    443,710x = 943,594,646,544
  5. Step 5: Solve for x
    x = 943,594,646,544/443,710
  6. Step 6: Final answer
    x = 2,126,602.16

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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.