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Finding the Third Proportional to 736,176 and 1,577,332

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Solution

The third proportional to 736,176 and 1,577,332 is: 3,379,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,176 : 1,577,332 = 1,577,332 : x
  2. Step 2: Convert to fraction form
    736,176/1,577,332 = 1,577,332/x
  3. Step 3: Cross multiply
    736,176x = 1,577,332 × 1,577,332
  4. Step 4: Simplify right side
    736,176x = 2,487,976,238,224
  5. Step 5: Solve for x
    x = 2,487,976,238,224/736,176
  6. Step 6: Final answer
    x = 3,379,594.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.