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Finding the Third Proportional to 1,213,119 and 2,596,648

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Solution

The third proportional to 1,213,119 and 2,596,648 is: 5,558,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,119 : 2,596,648 = 2,596,648 : x
  2. Step 2: Convert to fraction form
    1,213,119/2,596,648 = 2,596,648/x
  3. Step 3: Cross multiply
    1,213,119x = 2,596,648 × 2,596,648
  4. Step 4: Simplify right side
    1,213,119x = 6,742,580,835,904
  5. Step 5: Solve for x
    x = 6,742,580,835,904/1,213,119
  6. Step 6: Final answer
    x = 5,558,053.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.