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Finding the Third Proportional to 1,743,650 and 3,762,700

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Solution

The third proportional to 1,743,650 and 3,762,700 is: 8,119,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,650 : 3,762,700 = 3,762,700 : x
  2. Step 2: Convert to fraction form
    1,743,650/3,762,700 = 3,762,700/x
  3. Step 3: Cross multiply
    1,743,650x = 3,762,700 × 3,762,700
  4. Step 4: Simplify right side
    1,743,650x = 14,157,911,290,000
  5. Step 5: Solve for x
    x = 14,157,911,290,000/1,743,650
  6. Step 6: Final answer
    x = 8,119,697.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.