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Finding the Third Proportional to 1,575,398 and 3,457,138

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Solution

The third proportional to 1,575,398 and 3,457,138 is: 7,586,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,398 : 3,457,138 = 3,457,138 : x
  2. Step 2: Convert to fraction form
    1,575,398/3,457,138 = 3,457,138/x
  3. Step 3: Cross multiply
    1,575,398x = 3,457,138 × 3,457,138
  4. Step 4: Simplify right side
    1,575,398x = 11,951,803,151,044
  5. Step 5: Solve for x
    x = 11,951,803,151,044/1,575,398
  6. Step 6: Final answer
    x = 7,586,529.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.