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Finding the Third Proportional to 524,064,678 and 1,121,747,988

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Solution

The third proportional to 524,064,678 and 1,121,747,988 is: 2,401,074,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,064,678 : 1,121,747,988 = 1,121,747,988 : x
  2. Step 2: Convert to fraction form
    524,064,678/1,121,747,988 = 1,121,747,988/x
  3. Step 3: Cross multiply
    524,064,678x = 1,121,747,988 × 1,121,747,988
  4. Step 4: Simplify right side
    524,064,678x = 1,258,318,548,582,048,256
  5. Step 5: Solve for x
    x = 1,258,318,548,582,048,256/524,064,678
  6. Step 6: Final answer
    x = 2,401,074,908.13

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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.