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Finding the Third Proportional to 966,627 and 2,119,171.50

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Solution

The third proportional to 966,627 and 2,119,171.50 is: 4,645,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,627 : 2,119,171.50 = 2,119,171.50 : x
  2. Step 2: Convert to fraction form
    966,627/2,119,171.50 = 2,119,171.50/x
  3. Step 3: Cross multiply
    966,627x = 2,119,171.50 × 2,119,171.50
  4. Step 4: Simplify right side
    966,627x = 4,490,887,846,412.25
  5. Step 5: Solve for x
    x = 4,490,887,846,412.25/966,627
  6. Step 6: Final answer
    x = 4,645,936.69

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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.