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Finding the Third Proportional to 655,209.63 and 1,401,504.13

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Solution

The third proportional to 655,209.63 and 1,401,504.13 is: 2,997,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,209.63 : 1,401,504.13 = 1,401,504.13 : x
  2. Step 2: Convert to fraction form
    655,209.63/1,401,504.13 = 1,401,504.13/x
  3. Step 3: Cross multiply
    655,209.63x = 1,401,504.13 × 1,401,504.13
  4. Step 4: Simplify right side
    655,209.63x = 1,964,213,812,392.02
  5. Step 5: Solve for x
    x = 1,964,213,812,392.02/655,209.63
  6. Step 6: Final answer
    x = 2,997,840.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.