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Finding the Third Proportional to 930,208 and 1,395,312

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Solution

The third proportional to 930,208 and 1,395,312 is: 2,092,968

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,208 : 1,395,312 = 1,395,312 : x
  2. Step 2: Convert to fraction form
    930,208/1,395,312 = 1,395,312/x
  3. Step 3: Cross multiply
    930,208x = 1,395,312 × 1,395,312
  4. Step 4: Simplify right side
    930,208x = 1,946,895,577,344
  5. Step 5: Solve for x
    x = 1,946,895,577,344/930,208
  6. Step 6: Final answer
    x = 2,092,968

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.