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Finding the Third Proportional to 1,114,209 and 2,441,378.63

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Solution

The third proportional to 1,114,209 and 2,441,378.63 is: 5,349,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,209 : 2,441,378.63 = 2,441,378.63 : x
  2. Step 2: Convert to fraction form
    1,114,209/2,441,378.63 = 2,441,378.63/x
  3. Step 3: Cross multiply
    1,114,209x = 2,441,378.63 × 2,441,378.63
  4. Step 4: Simplify right side
    1,114,209x = 5,960,329,590,606.89
  5. Step 5: Solve for x
    x = 5,960,329,590,606.89/1,114,209
  6. Step 6: Final answer
    x = 5,349,382.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.