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Finding the Third Proportional to 614,628 and 923,724

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Solution

The third proportional to 614,628 and 923,724 is: 1,388,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,628 : 923,724 = 923,724 : x
  2. Step 2: Convert to fraction form
    614,628/923,724 = 923,724/x
  3. Step 3: Cross multiply
    614,628x = 923,724 × 923,724
  4. Step 4: Simplify right side
    614,628x = 853,266,028,176
  5. Step 5: Solve for x
    x = 853,266,028,176/614,628
  6. Step 6: Final answer
    x = 1,388,264.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.