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Finding the Third Proportional to 983,226 and 1,345,611

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Solution

The third proportional to 983,226 and 1,345,611 is: 1,841,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,226 : 1,345,611 = 1,345,611 : x
  2. Step 2: Convert to fraction form
    983,226/1,345,611 = 1,345,611/x
  3. Step 3: Cross multiply
    983,226x = 1,345,611 × 1,345,611
  4. Step 4: Simplify right side
    983,226x = 1,810,668,963,321
  5. Step 5: Solve for x
    x = 1,810,668,963,321/983,226
  6. Step 6: Final answer
    x = 1,841,559.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.