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Finding the Third Proportional to 1,782,136 and 2,925,642

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Solution

The third proportional to 1,782,136 and 2,925,642 is: 4,802,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,136 : 2,925,642 = 2,925,642 : x
  2. Step 2: Convert to fraction form
    1,782,136/2,925,642 = 2,925,642/x
  3. Step 3: Cross multiply
    1,782,136x = 2,925,642 × 2,925,642
  4. Step 4: Simplify right side
    1,782,136x = 8,559,381,112,164
  5. Step 5: Solve for x
    x = 8,559,381,112,164/1,782,136
  6. Step 6: Final answer
    x = 4,802,877.62

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.