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Finding the Third Proportional to 590,753 and 1,295,877

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Solution

The third proportional to 590,753 and 1,295,877 is: 2,842,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,753 : 1,295,877 = 1,295,877 : x
  2. Step 2: Convert to fraction form
    590,753/1,295,877 = 1,295,877/x
  3. Step 3: Cross multiply
    590,753x = 1,295,877 × 1,295,877
  4. Step 4: Simplify right side
    590,753x = 1,679,297,199,129
  5. Step 5: Solve for x
    x = 1,679,297,199,129/590,753
  6. Step 6: Final answer
    x = 2,842,638.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.