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Finding the Third Proportional to 637,836 and 1,341,768

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Solution

The third proportional to 637,836 and 1,341,768 is: 2,822,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,836 : 1,341,768 = 1,341,768 : x
  2. Step 2: Convert to fraction form
    637,836/1,341,768 = 1,341,768/x
  3. Step 3: Cross multiply
    637,836x = 1,341,768 × 1,341,768
  4. Step 4: Simplify right side
    637,836x = 1,800,341,365,824
  5. Step 5: Solve for x
    x = 1,800,341,365,824/637,836
  6. Step 6: Final answer
    x = 2,822,577.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.