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Finding the Third Proportional to 670,730 and 996,981

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Solution

The third proportional to 670,730 and 996,981 is: 1,481,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,730 : 996,981 = 996,981 : x
  2. Step 2: Convert to fraction form
    670,730/996,981 = 996,981/x
  3. Step 3: Cross multiply
    670,730x = 996,981 × 996,981
  4. Step 4: Simplify right side
    670,730x = 993,971,114,361
  5. Step 5: Solve for x
    x = 993,971,114,361/670,730
  6. Step 6: Final answer
    x = 1,481,924.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.