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Finding the Third Proportional to 673,232 and 983,810

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Solution

The third proportional to 673,232 and 983,810 is: 1,437,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,232 : 983,810 = 983,810 : x
  2. Step 2: Convert to fraction form
    673,232/983,810 = 983,810/x
  3. Step 3: Cross multiply
    673,232x = 983,810 × 983,810
  4. Step 4: Simplify right side
    673,232x = 967,882,116,100
  5. Step 5: Solve for x
    x = 967,882,116,100/673,232
  6. Step 6: Final answer
    x = 1,437,665.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.