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Finding the Third Proportional to 595,712 and 1,296,640

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Solution

The third proportional to 595,712 and 1,296,640 is: 2,822,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,712 : 1,296,640 = 1,296,640 : x
  2. Step 2: Convert to fraction form
    595,712/1,296,640 = 1,296,640/x
  3. Step 3: Cross multiply
    595,712x = 1,296,640 × 1,296,640
  4. Step 4: Simplify right side
    595,712x = 1,681,275,289,600
  5. Step 5: Solve for x
    x = 1,681,275,289,600/595,712
  6. Step 6: Final answer
    x = 2,822,295.49

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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.