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Finding the Third Proportional to 1,976,951 and 4,316,457

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Solution

The third proportional to 1,976,951 and 4,316,457 is: 9,424,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976,951 : 4,316,457 = 4,316,457 : x
  2. Step 2: Convert to fraction form
    1,976,951/4,316,457 = 4,316,457/x
  3. Step 3: Cross multiply
    1,976,951x = 4,316,457 × 4,316,457
  4. Step 4: Simplify right side
    1,976,951x = 18,631,801,032,849
  5. Step 5: Solve for x
    x = 18,631,801,032,849/1,976,951
  6. Step 6: Final answer
    x = 9,424,513.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.