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Finding the Third Proportional to 1,229,020,372 and 1,796,870,742

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Solution

The third proportional to 1,229,020,372 and 1,796,870,742 is: 2,627,087,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,020,372 : 1,796,870,742 = 1,796,870,742 : x
  2. Step 2: Convert to fraction form
    1,229,020,372/1,796,870,742 = 1,796,870,742/x
  3. Step 3: Cross multiply
    1,229,020,372x = 1,796,870,742 × 1,796,870,742
  4. Step 4: Simplify right side
    1,229,020,372x = 3,228,744,463,455,630,336
  5. Step 5: Solve for x
    x = 3,228,744,463,455,630,336/1,229,020,372
  6. Step 6: Final answer
    x = 2,627,087,831.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.