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Finding the Third Proportional to 304,389,775 and 651,826,221

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Solution

The third proportional to 304,389,775 and 651,826,221 is: 1,395,833,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,389,775 : 651,826,221 = 651,826,221 : x
  2. Step 2: Convert to fraction form
    304,389,775/651,826,221 = 651,826,221/x
  3. Step 3: Cross multiply
    304,389,775x = 651,826,221 × 651,826,221
  4. Step 4: Simplify right side
    304,389,775x = 424,877,422,383,140,864
  5. Step 5: Solve for x
    x = 424,877,422,383,140,864/304,389,775
  6. Step 6: Final answer
    x = 1,395,833,425.69

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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.