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Finding the Third Proportional to 706,440 and 1,513,888

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Solution

The third proportional to 706,440 and 1,513,888 is: 3,244,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,440 : 1,513,888 = 1,513,888 : x
  2. Step 2: Convert to fraction form
    706,440/1,513,888 = 1,513,888/x
  3. Step 3: Cross multiply
    706,440x = 1,513,888 × 1,513,888
  4. Step 4: Simplify right side
    706,440x = 2,291,856,876,544
  5. Step 5: Solve for x
    x = 2,291,856,876,544/706,440
  6. Step 6: Final answer
    x = 3,244,234.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.