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Finding the Third Proportional to 1,408,981.50 and 3,043,021.50

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Solution

The third proportional to 1,408,981.50 and 3,043,021.50 is: 6,572,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,981.50 : 3,043,021.50 = 3,043,021.50 : x
  2. Step 2: Convert to fraction form
    1,408,981.50/3,043,021.50 = 3,043,021.50/x
  3. Step 3: Cross multiply
    1,408,981.50x = 3,043,021.50 × 3,043,021.50
  4. Step 4: Simplify right side
    1,408,981.50x = 9,259,979,849,462.25
  5. Step 5: Solve for x
    x = 9,259,979,849,462.25/1,408,981.50
  6. Step 6: Final answer
    x = 6,572,108.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.