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Finding the Third Proportional to 387,784,985 and 848,539,954

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Solution

The third proportional to 387,784,985 and 848,539,954 is: 1,856,750,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,784,985 : 848,539,954 = 848,539,954 : x
  2. Step 2: Convert to fraction form
    387,784,985/848,539,954 = 848,539,954/x
  3. Step 3: Cross multiply
    387,784,985x = 848,539,954 × 848,539,954
  4. Step 4: Simplify right side
    387,784,985x = 720,020,053,534,322,176
  5. Step 5: Solve for x
    x = 720,020,053,534,322,176/387,784,985
  6. Step 6: Final answer
    x = 1,856,750,728.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.