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Finding the Third Proportional to 279,280,080 and 587,502,918

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Solution

The third proportional to 279,280,080 and 587,502,918 is: 1,235,890,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,280,080 : 587,502,918 = 587,502,918 : x
  2. Step 2: Convert to fraction form
    279,280,080/587,502,918 = 587,502,918/x
  3. Step 3: Cross multiply
    279,280,080x = 587,502,918 × 587,502,918
  4. Step 4: Simplify right side
    279,280,080x = 345,159,678,658,514,752
  5. Step 5: Solve for x
    x = 345,159,678,658,514,752/279,280,080
  6. Step 6: Final answer
    x = 1,235,890,789.84

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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.