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Finding the Third Proportional to 476,329,073 and 1,021,578,211

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Solution

The third proportional to 476,329,073 and 1,021,578,211 is: 2,190,968,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,329,073 : 1,021,578,211 = 1,021,578,211 : x
  2. Step 2: Convert to fraction form
    476,329,073/1,021,578,211 = 1,021,578,211/x
  3. Step 3: Cross multiply
    476,329,073x = 1,021,578,211 × 1,021,578,211
  4. Step 4: Simplify right side
    476,329,073x = 1,043,622,041,189,960,576
  5. Step 5: Solve for x
    x = 1,043,622,041,189,960,576/476,329,073
  6. Step 6: Final answer
    x = 2,190,968,597.86

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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.