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Finding the Third Proportional to 841,420 and 1,846,136

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Solution

The third proportional to 841,420 and 1,846,136 is: 4,050,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,420 : 1,846,136 = 1,846,136 : x
  2. Step 2: Convert to fraction form
    841,420/1,846,136 = 1,846,136/x
  3. Step 3: Cross multiply
    841,420x = 1,846,136 × 1,846,136
  4. Step 4: Simplify right side
    841,420x = 3,408,218,130,496
  5. Step 5: Solve for x
    x = 3,408,218,130,496/841,420
  6. Step 6: Final answer
    x = 4,050,555.17

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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.