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Finding the Third Proportional to 760,944 and 1,639,635

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Solution

The third proportional to 760,944 and 1,639,635 is: 3,532,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,944 : 1,639,635 = 1,639,635 : x
  2. Step 2: Convert to fraction form
    760,944/1,639,635 = 1,639,635/x
  3. Step 3: Cross multiply
    760,944x = 1,639,635 × 1,639,635
  4. Step 4: Simplify right side
    760,944x = 2,688,402,933,225
  5. Step 5: Solve for x
    x = 2,688,402,933,225/760,944
  6. Step 6: Final answer
    x = 3,532,983.94

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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.