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Finding the Third Proportional to 882,138 and 1,319,733

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Solution

The third proportional to 882,138 and 1,319,733 is: 1,974,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,138 : 1,319,733 = 1,319,733 : x
  2. Step 2: Convert to fraction form
    882,138/1,319,733 = 1,319,733/x
  3. Step 3: Cross multiply
    882,138x = 1,319,733 × 1,319,733
  4. Step 4: Simplify right side
    882,138x = 1,741,695,191,289
  5. Step 5: Solve for x
    x = 1,741,695,191,289/882,138
  6. Step 6: Final answer
    x = 1,974,402.18

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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.