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Finding the Third Proportional to 3,457,612 and 5,074,312

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Solution

The third proportional to 3,457,612 and 5,074,312 is: 7,446,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,612 : 5,074,312 = 5,074,312 : x
  2. Step 2: Convert to fraction form
    3,457,612/5,074,312 = 5,074,312/x
  3. Step 3: Cross multiply
    3,457,612x = 5,074,312 × 5,074,312
  4. Step 4: Simplify right side
    3,457,612x = 25,748,642,273,344
  5. Step 5: Solve for x
    x = 25,748,642,273,344/3,457,612
  6. Step 6: Final answer
    x = 7,446,943.81

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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.