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Finding the Third Proportional to 1,196,964 and 2,559,816

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Solution

The third proportional to 1,196,964 and 2,559,816 is: 5,474,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,964 : 2,559,816 = 2,559,816 : x
  2. Step 2: Convert to fraction form
    1,196,964/2,559,816 = 2,559,816/x
  3. Step 3: Cross multiply
    1,196,964x = 2,559,816 × 2,559,816
  4. Step 4: Simplify right side
    1,196,964x = 6,552,657,953,856
  5. Step 5: Solve for x
    x = 6,552,657,953,856/1,196,964
  6. Step 6: Final answer
    x = 5,474,398.52

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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.