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Finding the Third Proportional to 873,566 and 1,357,006

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Solution

The third proportional to 873,566 and 1,357,006 is: 2,107,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,566 : 1,357,006 = 1,357,006 : x
  2. Step 2: Convert to fraction form
    873,566/1,357,006 = 1,357,006/x
  3. Step 3: Cross multiply
    873,566x = 1,357,006 × 1,357,006
  4. Step 4: Simplify right side
    873,566x = 1,841,465,284,036
  5. Step 5: Solve for x
    x = 1,841,465,284,036/873,566
  6. Step 6: Final answer
    x = 2,107,986.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.