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Finding the Third Proportional to 560,865 and 1,216,362

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Solution

The third proportional to 560,865 and 1,216,362 is: 2,637,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,865 : 1,216,362 = 1,216,362 : x
  2. Step 2: Convert to fraction form
    560,865/1,216,362 = 1,216,362/x
  3. Step 3: Cross multiply
    560,865x = 1,216,362 × 1,216,362
  4. Step 4: Simplify right side
    560,865x = 1,479,536,515,044
  5. Step 5: Solve for x
    x = 1,479,536,515,044/560,865
  6. Step 6: Final answer
    x = 2,637,954.79

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Why These Related Problems?

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