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Finding the Third Proportional to 953,542 and 1,440,033

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Solution

The third proportional to 953,542 and 1,440,033 is: 2,174,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,542 : 1,440,033 = 1,440,033 : x
  2. Step 2: Convert to fraction form
    953,542/1,440,033 = 1,440,033/x
  3. Step 3: Cross multiply
    953,542x = 1,440,033 × 1,440,033
  4. Step 4: Simplify right side
    953,542x = 2,073,695,041,089
  5. Step 5: Solve for x
    x = 2,073,695,041,089/953,542
  6. Step 6: Final answer
    x = 2,174,728.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.