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Finding the Third Proportional to 298,508,082 and 645,911,648

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Solution

The third proportional to 298,508,082 and 645,911,648 is: 1,397,623,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,508,082 : 645,911,648 = 645,911,648 : x
  2. Step 2: Convert to fraction form
    298,508,082/645,911,648 = 645,911,648/x
  3. Step 3: Cross multiply
    298,508,082x = 645,911,648 × 645,911,648
  4. Step 4: Simplify right side
    298,508,082x = 417,201,857,022,075,904
  5. Step 5: Solve for x
    x = 417,201,857,022,075,904/298,508,082
  6. Step 6: Final answer
    x = 1,397,623,321.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.