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Finding the Third Proportional to 1,831,579 and 2,692,492

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Solution

The third proportional to 1,831,579 and 2,692,492 is: 3,958,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,579 : 2,692,492 = 2,692,492 : x
  2. Step 2: Convert to fraction form
    1,831,579/2,692,492 = 2,692,492/x
  3. Step 3: Cross multiply
    1,831,579x = 2,692,492 × 2,692,492
  4. Step 4: Simplify right side
    1,831,579x = 7,249,513,170,064
  5. Step 5: Solve for x
    x = 7,249,513,170,064/1,831,579
  6. Step 6: Final answer
    x = 3,958,067.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.