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Finding the Third Proportional to 500,255,460 and 1,086,628,098.38

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Solution

The third proportional to 500,255,460 and 1,086,628,098.38 is: 2,360,315,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,255,460 : 1,086,628,098.38 = 1,086,628,098.38 : x
  2. Step 2: Convert to fraction form
    500,255,460/1,086,628,098.38 = 1,086,628,098.38/x
  3. Step 3: Cross multiply
    500,255,460x = 1,086,628,098.38 × 1,086,628,098.38
  4. Step 4: Simplify right side
    500,255,460x = 1,180,760,624,178,068,736
  5. Step 5: Solve for x
    x = 1,180,760,624,178,068,736/500,255,460
  6. Step 6: Final answer
    x = 2,360,315,316.05

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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.