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Finding the Third Proportional to 1,147,563 and 2,378,043

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Solution

The third proportional to 1,147,563 and 2,378,043 is: 4,927,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,563 : 2,378,043 = 2,378,043 : x
  2. Step 2: Convert to fraction form
    1,147,563/2,378,043 = 2,378,043/x
  3. Step 3: Cross multiply
    1,147,563x = 2,378,043 × 2,378,043
  4. Step 4: Simplify right side
    1,147,563x = 5,655,088,509,849
  5. Step 5: Solve for x
    x = 5,655,088,509,849/1,147,563
  6. Step 6: Final answer
    x = 4,927,911.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.