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Finding the Third Proportional to 2,658,407 and 5,831,441

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Solution

The third proportional to 2,658,407 and 5,831,441 is: 12,791,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,407 : 5,831,441 = 5,831,441 : x
  2. Step 2: Convert to fraction form
    2,658,407/5,831,441 = 5,831,441/x
  3. Step 3: Cross multiply
    2,658,407x = 5,831,441 × 5,831,441
  4. Step 4: Simplify right side
    2,658,407x = 34,005,704,136,481
  5. Step 5: Solve for x
    x = 34,005,704,136,481/2,658,407
  6. Step 6: Final answer
    x = 12,791,759.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.