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Finding the Third Proportional to 1,159,232 and 2,477,998

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Solution

The third proportional to 1,159,232 and 2,477,998 is: 5,297,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,232 : 2,477,998 = 2,477,998 : x
  2. Step 2: Convert to fraction form
    1,159,232/2,477,998 = 2,477,998/x
  3. Step 3: Cross multiply
    1,159,232x = 2,477,998 × 2,477,998
  4. Step 4: Simplify right side
    1,159,232x = 6,140,474,088,004
  5. Step 5: Solve for x
    x = 6,140,474,088,004/1,159,232
  6. Step 6: Final answer
    x = 5,297,019.14

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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.