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Finding the Third Proportional to 1,746,265.50 and 3,747,681

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Solution

The third proportional to 1,746,265.50 and 3,747,681 is: 8,042,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,265.50 : 3,747,681 = 3,747,681 : x
  2. Step 2: Convert to fraction form
    1,746,265.50/3,747,681 = 3,747,681/x
  3. Step 3: Cross multiply
    1,746,265.50x = 3,747,681 × 3,747,681
  4. Step 4: Simplify right side
    1,746,265.50x = 14,045,112,877,761
  5. Step 5: Solve for x
    x = 14,045,112,877,761/1,746,265.50
  6. Step 6: Final answer
    x = 8,042,942.43

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Why These Related Problems?

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