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Finding the Third Proportional to 1,109,002.50 and 1,671,387.75

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Solution

The third proportional to 1,109,002.50 and 1,671,387.75 is: 2,518,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,002.50 : 1,671,387.75 = 1,671,387.75 : x
  2. Step 2: Convert to fraction form
    1,109,002.50/1,671,387.75 = 1,671,387.75/x
  3. Step 3: Cross multiply
    1,109,002.50x = 1,671,387.75 × 1,671,387.75
  4. Step 4: Simplify right side
    1,109,002.50x = 2,793,537,010,850.06
  5. Step 5: Solve for x
    x = 2,793,537,010,850.06/1,109,002.50
  6. Step 6: Final answer
    x = 2,518,963.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.