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Finding the Third Proportional to 556,053 and 1,214,049

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Solution

The third proportional to 556,053 and 1,214,049 is: 2,650,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,053 : 1,214,049 = 1,214,049 : x
  2. Step 2: Convert to fraction form
    556,053/1,214,049 = 1,214,049/x
  3. Step 3: Cross multiply
    556,053x = 1,214,049 × 1,214,049
  4. Step 4: Simplify right side
    556,053x = 1,473,914,974,401
  5. Step 5: Solve for x
    x = 1,473,914,974,401/556,053
  6. Step 6: Final answer
    x = 2,650,673.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.