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Finding the Third Proportional to 1,743,529.50 and 3,762,297

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Solution

The third proportional to 1,743,529.50 and 3,762,297 is: 8,118,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,529.50 : 3,762,297 = 3,762,297 : x
  2. Step 2: Convert to fraction form
    1,743,529.50/3,762,297 = 3,762,297/x
  3. Step 3: Cross multiply
    1,743,529.50x = 3,762,297 × 3,762,297
  4. Step 4: Simplify right side
    1,743,529.50x = 14,154,878,716,209
  5. Step 5: Solve for x
    x = 14,154,878,716,209/1,743,529.50
  6. Step 6: Final answer
    x = 8,118,519.77

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Why These Related Problems?

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