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Finding the Third Proportional to 967,575.38 and 1,353,312.56

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Solution

The third proportional to 967,575.38 and 1,353,312.56 is: 1,892,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,575.38 : 1,353,312.56 = 1,353,312.56 : x
  2. Step 2: Convert to fraction form
    967,575.38/1,353,312.56 = 1,353,312.56/x
  3. Step 3: Cross multiply
    967,575.38x = 1,353,312.56 × 1,353,312.56
  4. Step 4: Simplify right side
    967,575.38x = 1,831,454,891,820.32
  5. Step 5: Solve for x
    x = 1,831,454,891,820.32/967,575.38
  6. Step 6: Final answer
    x = 1,892,829.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.