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Finding the Third Proportional to 1,762,464 and 3,780,624

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Solution

The third proportional to 1,762,464 and 3,780,624 is: 8,109,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,464 : 3,780,624 = 3,780,624 : x
  2. Step 2: Convert to fraction form
    1,762,464/3,780,624 = 3,780,624/x
  3. Step 3: Cross multiply
    1,762,464x = 3,780,624 × 3,780,624
  4. Step 4: Simplify right side
    1,762,464x = 14,293,117,829,376
  5. Step 5: Solve for x
    x = 14,293,117,829,376/1,762,464
  6. Step 6: Final answer
    x = 8,109,736.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.