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Finding the Third Proportional to 841,430 and 1,811,164

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Solution

The third proportional to 841,430 and 1,811,164 is: 3,898,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,430 : 1,811,164 = 1,811,164 : x
  2. Step 2: Convert to fraction form
    841,430/1,811,164 = 1,811,164/x
  3. Step 3: Cross multiply
    841,430x = 1,811,164 × 1,811,164
  4. Step 4: Simplify right side
    841,430x = 3,280,315,034,896
  5. Step 5: Solve for x
    x = 3,280,315,034,896/841,430
  6. Step 6: Final answer
    x = 3,898,500.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.