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Finding the Third Proportional to 1,663,732 and 3,406,274

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Solution

The third proportional to 1,663,732 and 3,406,274 is: 6,973,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,732 : 3,406,274 = 3,406,274 : x
  2. Step 2: Convert to fraction form
    1,663,732/3,406,274 = 3,406,274/x
  3. Step 3: Cross multiply
    1,663,732x = 3,406,274 × 3,406,274
  4. Step 4: Simplify right side
    1,663,732x = 11,602,702,563,076
  5. Step 5: Solve for x
    x = 11,602,702,563,076/1,663,732
  6. Step 6: Final answer
    x = 6,973,901.18

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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.