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Finding the Third Proportional to 3,457,706 and 5,074,454

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Solution

The third proportional to 3,457,706 and 5,074,454 is: 7,447,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,706 : 5,074,454 = 5,074,454 : x
  2. Step 2: Convert to fraction form
    3,457,706/5,074,454 = 5,074,454/x
  3. Step 3: Cross multiply
    3,457,706x = 5,074,454 × 5,074,454
  4. Step 4: Simplify right side
    3,457,706x = 25,750,083,398,116
  5. Step 5: Solve for x
    x = 25,750,083,398,116/3,457,706
  6. Step 6: Final answer
    x = 7,447,158.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.