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Finding the Third Proportional to 1,426,817 and 2,971,732

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Solution

The third proportional to 1,426,817 and 2,971,732 is: 6,189,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,817 : 2,971,732 = 2,971,732 : x
  2. Step 2: Convert to fraction form
    1,426,817/2,971,732 = 2,971,732/x
  3. Step 3: Cross multiply
    1,426,817x = 2,971,732 × 2,971,732
  4. Step 4: Simplify right side
    1,426,817x = 8,831,191,079,824
  5. Step 5: Solve for x
    x = 8,831,191,079,824/1,426,817
  6. Step 6: Final answer
    x = 6,189,435.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.