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Finding the Third Proportional to 882,036 and 1,319,598

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Solution

The third proportional to 882,036 and 1,319,598 is: 1,974,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,036 : 1,319,598 = 1,319,598 : x
  2. Step 2: Convert to fraction form
    882,036/1,319,598 = 1,319,598/x
  3. Step 3: Cross multiply
    882,036x = 1,319,598 × 1,319,598
  4. Step 4: Simplify right side
    882,036x = 1,741,338,881,604
  5. Step 5: Solve for x
    x = 1,741,338,881,604/882,036
  6. Step 6: Final answer
    x = 1,974,226.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.