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Finding the Third Proportional to 607,337 and 1,406,015

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Solution

The third proportional to 607,337 and 1,406,015 is: 3,254,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,337 : 1,406,015 = 1,406,015 : x
  2. Step 2: Convert to fraction form
    607,337/1,406,015 = 1,406,015/x
  3. Step 3: Cross multiply
    607,337x = 1,406,015 × 1,406,015
  4. Step 4: Simplify right side
    607,337x = 1,976,878,180,225
  5. Step 5: Solve for x
    x = 1,976,878,180,225/607,337
  6. Step 6: Final answer
    x = 3,254,993.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.