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Finding the Third Proportional to 560,868 and 1,216,871

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Solution

The third proportional to 560,868 and 1,216,871 is: 2,640,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,868 : 1,216,871 = 1,216,871 : x
  2. Step 2: Convert to fraction form
    560,868/1,216,871 = 1,216,871/x
  3. Step 3: Cross multiply
    560,868x = 1,216,871 × 1,216,871
  4. Step 4: Simplify right side
    560,868x = 1,480,775,030,641
  5. Step 5: Solve for x
    x = 1,480,775,030,641/560,868
  6. Step 6: Final answer
    x = 2,640,148.90

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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.