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Finding the Third Proportional to 510,145 and 1,113,545

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Solution

The third proportional to 510,145 and 1,113,545 is: 2,430,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,145 : 1,113,545 = 1,113,545 : x
  2. Step 2: Convert to fraction form
    510,145/1,113,545 = 1,113,545/x
  3. Step 3: Cross multiply
    510,145x = 1,113,545 × 1,113,545
  4. Step 4: Simplify right side
    510,145x = 1,239,982,467,025
  5. Step 5: Solve for x
    x = 1,239,982,467,025/510,145
  6. Step 6: Final answer
    x = 2,430,647.10

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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.