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Finding the Third Proportional to 690,759,157 and 1,502,546,621

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Solution

The third proportional to 690,759,157 and 1,502,546,621 is: 3,268,355,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,759,157 : 1,502,546,621 = 1,502,546,621 : x
  2. Step 2: Convert to fraction form
    690,759,157/1,502,546,621 = 1,502,546,621/x
  3. Step 3: Cross multiply
    690,759,157x = 1,502,546,621 × 1,502,546,621
  4. Step 4: Simplify right side
    690,759,157x = 2,257,646,348,278,517,760
  5. Step 5: Solve for x
    x = 2,257,646,348,278,517,760/690,759,157
  6. Step 6: Final answer
    x = 3,268,355,294.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.