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Finding the Third Proportional to 818,982 and 1,263,465

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Solution

The third proportional to 818,982 and 1,263,465 is: 1,949,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,982 : 1,263,465 = 1,263,465 : x
  2. Step 2: Convert to fraction form
    818,982/1,263,465 = 1,263,465/x
  3. Step 3: Cross multiply
    818,982x = 1,263,465 × 1,263,465
  4. Step 4: Simplify right side
    818,982x = 1,596,343,806,225
  5. Step 5: Solve for x
    x = 1,596,343,806,225/818,982
  6. Step 6: Final answer
    x = 1,949,180.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.