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Finding the Third Proportional to 569,040 and 1,243,072

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Solution

The third proportional to 569,040 and 1,243,072 is: 2,715,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,040 : 1,243,072 = 1,243,072 : x
  2. Step 2: Convert to fraction form
    569,040/1,243,072 = 1,243,072/x
  3. Step 3: Cross multiply
    569,040x = 1,243,072 × 1,243,072
  4. Step 4: Simplify right side
    569,040x = 1,545,227,997,184
  5. Step 5: Solve for x
    x = 1,545,227,997,184/569,040
  6. Step 6: Final answer
    x = 2,715,499.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.