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Finding the Third Proportional to 896,961 and 1,390,275

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Solution

The third proportional to 896,961 and 1,390,275 is: 2,154,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,961 : 1,390,275 = 1,390,275 : x
  2. Step 2: Convert to fraction form
    896,961/1,390,275 = 1,390,275/x
  3. Step 3: Cross multiply
    896,961x = 1,390,275 × 1,390,275
  4. Step 4: Simplify right side
    896,961x = 1,932,864,575,625
  5. Step 5: Solve for x
    x = 1,932,864,575,625/896,961
  6. Step 6: Final answer
    x = 2,154,903.70

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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.