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Finding the Third Proportional to 546,103,296 and 798,717,384

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Solution

The third proportional to 546,103,296 and 798,717,384 is: 1,168,184,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,103,296 : 798,717,384 = 798,717,384 : x
  2. Step 2: Convert to fraction form
    546,103,296/798,717,384 = 798,717,384/x
  3. Step 3: Cross multiply
    546,103,296x = 798,717,384 × 798,717,384
  4. Step 4: Simplify right side
    546,103,296x = 637,949,459,503,803,392
  5. Step 5: Solve for x
    x = 637,949,459,503,803,392/546,103,296
  6. Step 6: Final answer
    x = 1,168,184,598.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.