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Finding the Third Proportional to 1,143,111 and 1,683,087

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Solution

The third proportional to 1,143,111 and 1,683,087 is: 2,478,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,111 : 1,683,087 = 1,683,087 : x
  2. Step 2: Convert to fraction form
    1,143,111/1,683,087 = 1,683,087/x
  3. Step 3: Cross multiply
    1,143,111x = 1,683,087 × 1,683,087
  4. Step 4: Simplify right side
    1,143,111x = 2,832,781,849,569
  5. Step 5: Solve for x
    x = 2,832,781,849,569/1,143,111
  6. Step 6: Final answer
    x = 2,478,133.66

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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.