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Finding the Third Proportional to 668,031 and 1,401,708

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Solution

The third proportional to 668,031 and 1,401,708 is: 2,941,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,031 : 1,401,708 = 1,401,708 : x
  2. Step 2: Convert to fraction form
    668,031/1,401,708 = 1,401,708/x
  3. Step 3: Cross multiply
    668,031x = 1,401,708 × 1,401,708
  4. Step 4: Simplify right side
    668,031x = 1,964,785,317,264
  5. Step 5: Solve for x
    x = 1,964,785,317,264/668,031
  6. Step 6: Final answer
    x = 2,941,158.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.