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Finding the Third Proportional to 595,764 and 1,296,360

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Solution

The third proportional to 595,764 and 1,296,360 is: 2,820,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,764 : 1,296,360 = 1,296,360 : x
  2. Step 2: Convert to fraction form
    595,764/1,296,360 = 1,296,360/x
  3. Step 3: Cross multiply
    595,764x = 1,296,360 × 1,296,360
  4. Step 4: Simplify right side
    595,764x = 1,680,549,249,600
  5. Step 5: Solve for x
    x = 1,680,549,249,600/595,764
  6. Step 6: Final answer
    x = 2,820,830.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.