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Finding the Third Proportional to 1,031,738 and 1,159,678

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Solution

The third proportional to 1,031,738 and 1,159,678 is: 1,303,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,738 : 1,159,678 = 1,159,678 : x
  2. Step 2: Convert to fraction form
    1,031,738/1,159,678 = 1,159,678/x
  3. Step 3: Cross multiply
    1,031,738x = 1,159,678 × 1,159,678
  4. Step 4: Simplify right side
    1,031,738x = 1,344,853,063,684
  5. Step 5: Solve for x
    x = 1,344,853,063,684/1,031,738
  6. Step 6: Final answer
    x = 1,303,483.12

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.