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Finding the Third Proportional to 1,592,167.50 and 3,464,271

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Solution

The third proportional to 1,592,167.50 and 3,464,271 is: 7,537,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,167.50 : 3,464,271 = 3,464,271 : x
  2. Step 2: Convert to fraction form
    1,592,167.50/3,464,271 = 3,464,271/x
  3. Step 3: Cross multiply
    1,592,167.50x = 3,464,271 × 3,464,271
  4. Step 4: Simplify right side
    1,592,167.50x = 12,001,173,561,441
  5. Step 5: Solve for x
    x = 12,001,173,561,441/1,592,167.50
  6. Step 6: Final answer
    x = 7,537,632.54

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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.