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Finding the Third Proportional to 667,144 and 983,070

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Solution

The third proportional to 667,144 and 983,070 is: 1,448,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,144 : 983,070 = 983,070 : x
  2. Step 2: Convert to fraction form
    667,144/983,070 = 983,070/x
  3. Step 3: Cross multiply
    667,144x = 983,070 × 983,070
  4. Step 4: Simplify right side
    667,144x = 966,426,624,900
  5. Step 5: Solve for x
    x = 966,426,624,900/667,144
  6. Step 6: Final answer
    x = 1,448,602.74

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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.