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Finding the Third Proportional to 1,200,732 and 1,688,778

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Solution

The third proportional to 1,200,732 and 1,688,778 is: 2,375,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,732 : 1,688,778 = 1,688,778 : x
  2. Step 2: Convert to fraction form
    1,200,732/1,688,778 = 1,688,778/x
  3. Step 3: Cross multiply
    1,200,732x = 1,688,778 × 1,688,778
  4. Step 4: Simplify right side
    1,200,732x = 2,851,971,133,284
  5. Step 5: Solve for x
    x = 2,851,971,133,284/1,200,732
  6. Step 6: Final answer
    x = 2,375,193.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.