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Finding the Third Proportional to 419,819,460 and 866,466,768

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Solution

The third proportional to 419,819,460 and 866,466,768 is: 1,788,303,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,819,460 : 866,466,768 = 866,466,768 : x
  2. Step 2: Convert to fraction form
    419,819,460/866,466,768 = 866,466,768/x
  3. Step 3: Cross multiply
    419,819,460x = 866,466,768 × 866,466,768
  4. Step 4: Simplify right side
    419,819,460x = 750,764,660,048,365,824
  5. Step 5: Solve for x
    x = 750,764,660,048,365,824/419,819,460
  6. Step 6: Final answer
    x = 1,788,303,619.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.