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Finding the Third Proportional to 586,176 and 1,255,296

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Solution

The third proportional to 586,176 and 1,255,296 is: 2,688,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,176 : 1,255,296 = 1,255,296 : x
  2. Step 2: Convert to fraction form
    586,176/1,255,296 = 1,255,296/x
  3. Step 3: Cross multiply
    586,176x = 1,255,296 × 1,255,296
  4. Step 4: Simplify right side
    586,176x = 1,575,768,047,616
  5. Step 5: Solve for x
    x = 1,575,768,047,616/586,176
  6. Step 6: Final answer
    x = 2,688,216.59

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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.