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Finding the Third Proportional to 1,213,114 and 2,596,637

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Solution

The third proportional to 1,213,114 and 2,596,637 is: 5,558,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,114 : 2,596,637 = 2,596,637 : x
  2. Step 2: Convert to fraction form
    1,213,114/2,596,637 = 2,596,637/x
  3. Step 3: Cross multiply
    1,213,114x = 2,596,637 × 2,596,637
  4. Step 4: Simplify right side
    1,213,114x = 6,742,523,709,769
  5. Step 5: Solve for x
    x = 6,742,523,709,769/1,213,114
  6. Step 6: Final answer
    x = 5,558,029.76

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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.