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Finding the Third Proportional to 896,960 and 1,390,272

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Solution

The third proportional to 896,960 and 1,390,272 is: 2,154,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,960 : 1,390,272 = 1,390,272 : x
  2. Step 2: Convert to fraction form
    896,960/1,390,272 = 1,390,272/x
  3. Step 3: Cross multiply
    896,960x = 1,390,272 × 1,390,272
  4. Step 4: Simplify right side
    896,960x = 1,932,856,233,984
  5. Step 5: Solve for x
    x = 1,932,856,233,984/896,960
  6. Step 6: Final answer
    x = 2,154,896.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.