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Finding the Third Proportional to 559,921 and 1,213,154

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Solution

The third proportional to 559,921 and 1,213,154 is: 2,628,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,921 : 1,213,154 = 1,213,154 : x
  2. Step 2: Convert to fraction form
    559,921/1,213,154 = 1,213,154/x
  3. Step 3: Cross multiply
    559,921x = 1,213,154 × 1,213,154
  4. Step 4: Simplify right side
    559,921x = 1,471,742,627,716
  5. Step 5: Solve for x
    x = 1,471,742,627,716/559,921
  6. Step 6: Final answer
    x = 2,628,482.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.