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Finding the Third Proportional to 640,274 and 1,389,076

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Solution

The third proportional to 640,274 and 1,389,076 is: 3,013,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,274 : 1,389,076 = 1,389,076 : x
  2. Step 2: Convert to fraction form
    640,274/1,389,076 = 1,389,076/x
  3. Step 3: Cross multiply
    640,274x = 1,389,076 × 1,389,076
  4. Step 4: Simplify right side
    640,274x = 1,929,532,133,776
  5. Step 5: Solve for x
    x = 1,929,532,133,776/640,274
  6. Step 6: Final answer
    x = 3,013,603.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.