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Finding the Third Proportional to 602,872,425 and 1,305,923,582.25

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Solution

The third proportional to 602,872,425 and 1,305,923,582.25 is: 2,828,851,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,872,425 : 1,305,923,582.25 = 1,305,923,582.25 : x
  2. Step 2: Convert to fraction form
    602,872,425/1,305,923,582.25 = 1,305,923,582.25/x
  3. Step 3: Cross multiply
    602,872,425x = 1,305,923,582.25 × 1,305,923,582.25
  4. Step 4: Simplify right side
    602,872,425x = 1,705,436,402,676,672,512
  5. Step 5: Solve for x
    x = 1,705,436,402,676,672,512/602,872,425
  6. Step 6: Final answer
    x = 2,828,851,232.79

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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.