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Finding the Third Proportional to 856,962.28 and 1,302,267.38

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Solution

The third proportional to 856,962.28 and 1,302,267.38 is: 1,978,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,962.28 : 1,302,267.38 = 1,302,267.38 : x
  2. Step 2: Convert to fraction form
    856,962.28/1,302,267.38 = 1,302,267.38/x
  3. Step 3: Cross multiply
    856,962.28x = 1,302,267.38 × 1,302,267.38
  4. Step 4: Simplify right side
    856,962.28x = 1,695,900,315,989.39
  5. Step 5: Solve for x
    x = 1,695,900,315,989.39/856,962.28
  6. Step 6: Final answer
    x = 1,978,967.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.