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Finding the Third Proportional to 643,172 and 945,488

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Solution

The third proportional to 643,172 and 945,488 is: 1,389,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,172 : 945,488 = 945,488 : x
  2. Step 2: Convert to fraction form
    643,172/945,488 = 945,488/x
  3. Step 3: Cross multiply
    643,172x = 945,488 × 945,488
  4. Step 4: Simplify right side
    643,172x = 893,947,558,144
  5. Step 5: Solve for x
    x = 893,947,558,144/643,172
  6. Step 6: Final answer
    x = 1,389,904.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.