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Finding the Third Proportional to 832,672 and 1,964,986

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Solution

The third proportional to 832,672 and 1,964,986 is: 4,637,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,672 : 1,964,986 = 1,964,986 : x
  2. Step 2: Convert to fraction form
    832,672/1,964,986 = 1,964,986/x
  3. Step 3: Cross multiply
    832,672x = 1,964,986 × 1,964,986
  4. Step 4: Simplify right side
    832,672x = 3,861,169,980,196
  5. Step 5: Solve for x
    x = 3,861,169,980,196/832,672
  6. Step 6: Final answer
    x = 4,637,083.97

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.