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Finding the Third Proportional to 465,919,289 and 1,035,266,024

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Solution

The third proportional to 465,919,289 and 1,035,266,024 is: 2,300,346,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,919,289 : 1,035,266,024 = 1,035,266,024 : x
  2. Step 2: Convert to fraction form
    465,919,289/1,035,266,024 = 1,035,266,024/x
  3. Step 3: Cross multiply
    465,919,289x = 1,035,266,024 × 1,035,266,024
  4. Step 4: Simplify right side
    465,919,289x = 1,071,775,740,448,768,512
  5. Step 5: Solve for x
    x = 1,071,775,740,448,768,512/465,919,289
  6. Step 6: Final answer
    x = 2,300,346,359.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.