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Finding the Third Proportional to 602,872,426 and 1,305,923,584.50

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Solution

The third proportional to 602,872,426 and 1,305,923,584.50 is: 2,828,851,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,872,426 : 1,305,923,584.50 = 1,305,923,584.50 : x
  2. Step 2: Convert to fraction form
    602,872,426/1,305,923,584.50 = 1,305,923,584.50/x
  3. Step 3: Cross multiply
    602,872,426x = 1,305,923,584.50 × 1,305,923,584.50
  4. Step 4: Simplify right side
    602,872,426x = 1,705,436,408,553,328,640
  5. Step 5: Solve for x
    x = 1,705,436,408,553,328,640/602,872,426
  6. Step 6: Final answer
    x = 2,828,851,237.85

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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.