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Finding the Third Proportional to 604,174,878 and 1,301,315,025

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Solution

The third proportional to 604,174,878 and 1,301,315,025 is: 2,802,865,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,174,878 : 1,301,315,025 = 1,301,315,025 : x
  2. Step 2: Convert to fraction form
    604,174,878/1,301,315,025 = 1,301,315,025/x
  3. Step 3: Cross multiply
    604,174,878x = 1,301,315,025 × 1,301,315,025
  4. Step 4: Simplify right side
    604,174,878x = 1,693,420,794,290,750,720
  5. Step 5: Solve for x
    x = 1,693,420,794,290,750,720/604,174,878
  6. Step 6: Final answer
    x = 2,802,865,289.43

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Why These Related Problems?

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