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Finding the Third Proportional to 463,754,896 and 1,000,145,824

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Solution

The third proportional to 463,754,896 and 1,000,145,824 is: 2,156,940,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,754,896 : 1,000,145,824 = 1,000,145,824 : x
  2. Step 2: Convert to fraction form
    463,754,896/1,000,145,824 = 1,000,145,824/x
  3. Step 3: Cross multiply
    463,754,896x = 1,000,145,824 × 1,000,145,824
  4. Step 4: Simplify right side
    463,754,896x = 1,000,291,669,264,638,976
  5. Step 5: Solve for x
    x = 1,000,291,669,264,638,976/463,754,896
  6. Step 6: Final answer
    x = 2,156,940,396.52

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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.