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Finding the Third Proportional to 1,762,512 and 3,865,468

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Solution

The third proportional to 1,762,512 and 3,865,468 is: 8,477,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,512 : 3,865,468 = 3,865,468 : x
  2. Step 2: Convert to fraction form
    1,762,512/3,865,468 = 3,865,468/x
  3. Step 3: Cross multiply
    1,762,512x = 3,865,468 × 3,865,468
  4. Step 4: Simplify right side
    1,762,512x = 14,941,842,859,024
  5. Step 5: Solve for x
    x = 14,941,842,859,024/1,762,512
  6. Step 6: Final answer
    x = 8,477,583.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.