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Finding the Third Proportional to 1,411,042 and 2,129,784

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Solution

The third proportional to 1,411,042 and 2,129,784 is: 3,214,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,042 : 2,129,784 = 2,129,784 : x
  2. Step 2: Convert to fraction form
    1,411,042/2,129,784 = 2,129,784/x
  3. Step 3: Cross multiply
    1,411,042x = 2,129,784 × 2,129,784
  4. Step 4: Simplify right side
    1,411,042x = 4,535,979,886,656
  5. Step 5: Solve for x
    x = 4,535,979,886,656/1,411,042
  6. Step 6: Final answer
    x = 3,214,631.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.