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Finding the Third Proportional to 1,745,442 and 3,702,168

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Solution

The third proportional to 1,745,442 and 3,702,168 is: 7,852,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,442 : 3,702,168 = 3,702,168 : x
  2. Step 2: Convert to fraction form
    1,745,442/3,702,168 = 3,702,168/x
  3. Step 3: Cross multiply
    1,745,442x = 3,702,168 × 3,702,168
  4. Step 4: Simplify right side
    1,745,442x = 13,706,047,900,224
  5. Step 5: Solve for x
    x = 13,706,047,900,224/1,745,442
  6. Step 6: Final answer
    x = 7,852,479.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.