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Finding the Third Proportional to 1,427,784 and 2,210,796

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Solution

The third proportional to 1,427,784 and 2,210,796 is: 3,423,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,784 : 2,210,796 = 2,210,796 : x
  2. Step 2: Convert to fraction form
    1,427,784/2,210,796 = 2,210,796/x
  3. Step 3: Cross multiply
    1,427,784x = 2,210,796 × 2,210,796
  4. Step 4: Simplify right side
    1,427,784x = 4,887,618,953,616
  5. Step 5: Solve for x
    x = 4,887,618,953,616/1,427,784
  6. Step 6: Final answer
    x = 3,423,220.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.