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Finding the Third Proportional to 690,480,261 and 1,478,903,130

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Solution

The third proportional to 690,480,261 and 1,478,903,130 is: 3,167,584,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,480,261 : 1,478,903,130 = 1,478,903,130 : x
  2. Step 2: Convert to fraction form
    690,480,261/1,478,903,130 = 1,478,903,130/x
  3. Step 3: Cross multiply
    690,480,261x = 1,478,903,130 × 1,478,903,130
  4. Step 4: Simplify right side
    690,480,261x = 2,187,154,467,923,796,992
  5. Step 5: Solve for x
    x = 2,187,154,467,923,796,992/690,480,261
  6. Step 6: Final answer
    x = 3,167,584,348.84

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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.