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Finding the Third Proportional to 2,409,391.50 and 3,547,485

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Solution

The third proportional to 2,409,391.50 and 3,547,485 is: 5,223,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,391.50 : 3,547,485 = 3,547,485 : x
  2. Step 2: Convert to fraction form
    2,409,391.50/3,547,485 = 3,547,485/x
  3. Step 3: Cross multiply
    2,409,391.50x = 3,547,485 × 3,547,485
  4. Step 4: Simplify right side
    2,409,391.50x = 12,584,649,825,225
  5. Step 5: Solve for x
    x = 12,584,649,825,225/2,409,391.50
  6. Step 6: Final answer
    x = 5,223,165.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.