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Finding the Third Proportional to 510,359.63 and 1,114,106.63

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Solution

The third proportional to 510,359.63 and 1,114,106.63 is: 2,432,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,359.63 : 1,114,106.63 = 1,114,106.63 : x
  2. Step 2: Convert to fraction form
    510,359.63/1,114,106.63 = 1,114,106.63/x
  3. Step 3: Cross multiply
    510,359.63x = 1,114,106.63 × 1,114,106.63
  4. Step 4: Simplify right side
    510,359.63x = 1,241,233,571,868.89
  5. Step 5: Solve for x
    x = 1,241,233,571,868.89/510,359.63
  6. Step 6: Final answer
    x = 2,432,076.35

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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.