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Finding the Third Proportional to 609,316 and 973,014

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Solution

The third proportional to 609,316 and 973,014 is: 1,553,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,316 : 973,014 = 973,014 : x
  2. Step 2: Convert to fraction form
    609,316/973,014 = 973,014/x
  3. Step 3: Cross multiply
    609,316x = 973,014 × 973,014
  4. Step 4: Simplify right side
    609,316x = 946,756,244,196
  5. Step 5: Solve for x
    x = 946,756,244,196/609,316
  6. Step 6: Final answer
    x = 1,553,801.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.