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Finding the Third Proportional to 803,184 and 1,291,612

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Solution

The third proportional to 803,184 and 1,291,612 is: 2,077,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,184 : 1,291,612 = 1,291,612 : x
  2. Step 2: Convert to fraction form
    803,184/1,291,612 = 1,291,612/x
  3. Step 3: Cross multiply
    803,184x = 1,291,612 × 1,291,612
  4. Step 4: Simplify right side
    803,184x = 1,668,261,558,544
  5. Step 5: Solve for x
    x = 1,668,261,558,544/803,184
  6. Step 6: Final answer
    x = 2,077,060.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.