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Finding the Third Proportional to 581,503 and 1,232,044

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Solution

The third proportional to 581,503 and 1,232,044 is: 2,610,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,503 : 1,232,044 = 1,232,044 : x
  2. Step 2: Convert to fraction form
    581,503/1,232,044 = 1,232,044/x
  3. Step 3: Cross multiply
    581,503x = 1,232,044 × 1,232,044
  4. Step 4: Simplify right side
    581,503x = 1,517,932,417,936
  5. Step 5: Solve for x
    x = 1,517,932,417,936/581,503
  6. Step 6: Final answer
    x = 2,610,360.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.