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Finding the Third Proportional to 476,392,321 and 1,031,927,794

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Solution

The third proportional to 476,392,321 and 1,031,927,794 is: 2,235,289,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,392,321 : 1,031,927,794 = 1,031,927,794 : x
  2. Step 2: Convert to fraction form
    476,392,321/1,031,927,794 = 1,031,927,794/x
  3. Step 3: Cross multiply
    476,392,321x = 1,031,927,794 × 1,031,927,794
  4. Step 4: Simplify right side
    476,392,321x = 1,064,874,972,029,706,496
  5. Step 5: Solve for x
    x = 1,064,874,972,029,706,496/476,392,321
  6. Step 6: Final answer
    x = 2,235,289,959.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.