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Finding the Third Proportional to 759,803,820 and 1,135,233,026

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Solution

The third proportional to 759,803,820 and 1,135,233,026 is: 1,696,166,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,803,820 : 1,135,233,026 = 1,135,233,026 : x
  2. Step 2: Convert to fraction form
    759,803,820/1,135,233,026 = 1,135,233,026/x
  3. Step 3: Cross multiply
    759,803,820x = 1,135,233,026 × 1,135,233,026
  4. Step 4: Simplify right side
    759,803,820x = 1,288,754,023,321,116,672
  5. Step 5: Solve for x
    x = 1,288,754,023,321,116,672/759,803,820
  6. Step 6: Final answer
    x = 1,696,166,812.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.