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Finding the Third Proportional to 1,440,564.75 and 2,157,080.63

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Solution

The third proportional to 1,440,564.75 and 2,157,080.63 is: 3,229,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,564.75 : 2,157,080.63 = 2,157,080.63 : x
  2. Step 2: Convert to fraction form
    1,440,564.75/2,157,080.63 = 2,157,080.63/x
  3. Step 3: Cross multiply
    1,440,564.75x = 2,157,080.63 × 2,157,080.63
  4. Step 4: Simplify right side
    1,440,564.75x = 4,652,996,822,750.39
  5. Step 5: Solve for x
    x = 4,652,996,822,750.39/1,440,564.75
  6. Step 6: Final answer
    x = 3,229,981.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.