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Finding the Third Proportional to 832,656 and 1,964,946

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Solution

The third proportional to 832,656 and 1,964,946 is: 4,636,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,656 : 1,964,946 = 1,964,946 : x
  2. Step 2: Convert to fraction form
    832,656/1,964,946 = 1,964,946/x
  3. Step 3: Cross multiply
    832,656x = 1,964,946 × 1,964,946
  4. Step 4: Simplify right side
    832,656x = 3,861,012,782,916
  5. Step 5: Solve for x
    x = 3,861,012,782,916/832,656
  6. Step 6: Final answer
    x = 4,636,984.28

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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.