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Finding the Third Proportional to 1,834,078.50 and 4,315,509

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Solution

The third proportional to 1,834,078.50 and 4,315,509 is: 10,154,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,078.50 : 4,315,509 = 4,315,509 : x
  2. Step 2: Convert to fraction form
    1,834,078.50/4,315,509 = 4,315,509/x
  3. Step 3: Cross multiply
    1,834,078.50x = 4,315,509 × 4,315,509
  4. Step 4: Simplify right side
    1,834,078.50x = 18,623,617,929,081
  5. Step 5: Solve for x
    x = 18,623,617,929,081/1,834,078.50
  6. Step 6: Final answer
    x = 10,154,209.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.