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Finding the Third Proportional to 864,747 and 1,772,262

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Solution

The third proportional to 864,747 and 1,772,262 is: 3,632,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,747 : 1,772,262 = 1,772,262 : x
  2. Step 2: Convert to fraction form
    864,747/1,772,262 = 1,772,262/x
  3. Step 3: Cross multiply
    864,747x = 1,772,262 × 1,772,262
  4. Step 4: Simplify right side
    864,747x = 3,140,912,596,644
  5. Step 5: Solve for x
    x = 3,140,912,596,644/864,747
  6. Step 6: Final answer
    x = 3,632,175.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.