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Finding the Third Proportional to 560,922 and 1,216,488

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Solution

The third proportional to 560,922 and 1,216,488 is: 2,638,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,922 : 1,216,488 = 1,216,488 : x
  2. Step 2: Convert to fraction form
    560,922/1,216,488 = 1,216,488/x
  3. Step 3: Cross multiply
    560,922x = 1,216,488 × 1,216,488
  4. Step 4: Simplify right side
    560,922x = 1,479,843,054,144
  5. Step 5: Solve for x
    x = 1,479,843,054,144/560,922
  6. Step 6: Final answer
    x = 2,638,233.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.