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Finding the Third Proportional to 670,128 and 1,445,228

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Solution

The third proportional to 670,128 and 1,445,228 is: 3,116,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,128 : 1,445,228 = 1,445,228 : x
  2. Step 2: Convert to fraction form
    670,128/1,445,228 = 1,445,228/x
  3. Step 3: Cross multiply
    670,128x = 1,445,228 × 1,445,228
  4. Step 4: Simplify right side
    670,128x = 2,088,683,971,984
  5. Step 5: Solve for x
    x = 2,088,683,971,984/670,128
  6. Step 6: Final answer
    x = 3,116,843.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.