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Finding the Third Proportional to 706,176 and 1,569,271

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Solution

The third proportional to 706,176 and 1,569,271 is: 3,487,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,176 : 1,569,271 = 1,569,271 : x
  2. Step 2: Convert to fraction form
    706,176/1,569,271 = 1,569,271/x
  3. Step 3: Cross multiply
    706,176x = 1,569,271 × 1,569,271
  4. Step 4: Simplify right side
    706,176x = 2,462,611,471,441
  5. Step 5: Solve for x
    x = 2,462,611,471,441/706,176
  6. Step 6: Final answer
    x = 3,487,248.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.