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Finding the Third Proportional to 1,206,495 and 1,769,146.31

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Solution

The third proportional to 1,206,495 and 1,769,146.31 is: 2,594,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,495 : 1,769,146.31 = 1,769,146.31 : x
  2. Step 2: Convert to fraction form
    1,206,495/1,769,146.31 = 1,769,146.31/x
  3. Step 3: Cross multiply
    1,206,495x = 1,769,146.31 × 1,769,146.31
  4. Step 4: Simplify right side
    1,206,495x = 3,129,878,675,032.35
  5. Step 5: Solve for x
    x = 3,129,878,675,032.35/1,206,495
  6. Step 6: Final answer
    x = 2,594,191.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.