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Finding the Third Proportional to 759,680 and 1,639,712

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Solution

The third proportional to 759,680 and 1,639,712 is: 3,539,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,680 : 1,639,712 = 1,639,712 : x
  2. Step 2: Convert to fraction form
    759,680/1,639,712 = 1,639,712/x
  3. Step 3: Cross multiply
    759,680x = 1,639,712 × 1,639,712
  4. Step 4: Simplify right side
    759,680x = 2,688,655,442,944
  5. Step 5: Solve for x
    x = 2,688,655,442,944/759,680
  6. Step 6: Final answer
    x = 3,539,194.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.