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Finding the Third Proportional to 578,499 and 1,245,900

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Solution

The third proportional to 578,499 and 1,245,900 is: 2,683,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,499 : 1,245,900 = 1,245,900 : x
  2. Step 2: Convert to fraction form
    578,499/1,245,900 = 1,245,900/x
  3. Step 3: Cross multiply
    578,499x = 1,245,900 × 1,245,900
  4. Step 4: Simplify right side
    578,499x = 1,552,266,810,000
  5. Step 5: Solve for x
    x = 1,552,266,810,000/578,499
  6. Step 6: Final answer
    x = 2,683,266.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.