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Finding the Third Proportional to 1,205,323 and 1,823,534

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Solution

The third proportional to 1,205,323 and 1,823,534 is: 2,758,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,323 : 1,823,534 = 1,823,534 : x
  2. Step 2: Convert to fraction form
    1,205,323/1,823,534 = 1,823,534/x
  3. Step 3: Cross multiply
    1,205,323x = 1,823,534 × 1,823,534
  4. Step 4: Simplify right side
    1,205,323x = 3,325,276,249,156
  5. Step 5: Solve for x
    x = 3,325,276,249,156/1,205,323
  6. Step 6: Final answer
    x = 2,758,825.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.