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Finding the Third Proportional to 965,712 and 2,078,688

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Solution

The third proportional to 965,712 and 2,078,688 is: 4,474,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,712 : 2,078,688 = 2,078,688 : x
  2. Step 2: Convert to fraction form
    965,712/2,078,688 = 2,078,688/x
  3. Step 3: Cross multiply
    965,712x = 2,078,688 × 2,078,688
  4. Step 4: Simplify right side
    965,712x = 4,320,943,801,344
  5. Step 5: Solve for x
    x = 4,320,943,801,344/965,712
  6. Step 6: Final answer
    x = 4,474,360.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.