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Finding the Third Proportional to 560,398 and 1,216,051

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Solution

The third proportional to 560,398 and 1,216,051 is: 2,638,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,398 : 1,216,051 = 1,216,051 : x
  2. Step 2: Convert to fraction form
    560,398/1,216,051 = 1,216,051/x
  3. Step 3: Cross multiply
    560,398x = 1,216,051 × 1,216,051
  4. Step 4: Simplify right side
    560,398x = 1,478,780,034,601
  5. Step 5: Solve for x
    x = 1,478,780,034,601/560,398
  6. Step 6: Final answer
    x = 2,638,803.20

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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.