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Finding the Third Proportional to 3,457,710 and 5,074,460

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Solution

The third proportional to 3,457,710 and 5,074,460 is: 7,447,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,710 : 5,074,460 = 5,074,460 : x
  2. Step 2: Convert to fraction form
    3,457,710/5,074,460 = 5,074,460/x
  3. Step 3: Cross multiply
    3,457,710x = 5,074,460 × 5,074,460
  4. Step 4: Simplify right side
    3,457,710x = 25,750,144,291,600
  5. Step 5: Solve for x
    x = 25,750,144,291,600/3,457,710
  6. Step 6: Final answer
    x = 7,447,167.14

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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.