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Finding the Third Proportional to 1,571,524 and 3,430,915

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Solution

The third proportional to 1,571,524 and 3,430,915 is: 7,490,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,524 : 3,430,915 = 3,430,915 : x
  2. Step 2: Convert to fraction form
    1,571,524/3,430,915 = 3,430,915/x
  3. Step 3: Cross multiply
    1,571,524x = 3,430,915 × 3,430,915
  4. Step 4: Simplify right side
    1,571,524x = 11,771,177,737,225
  5. Step 5: Solve for x
    x = 11,771,177,737,225/1,571,524
  6. Step 6: Final answer
    x = 7,490,294.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.