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Finding the Third Proportional to 761,024 and 1,639,781

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Solution

The third proportional to 761,024 and 1,639,781 is: 3,533,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,024 : 1,639,781 = 1,639,781 : x
  2. Step 2: Convert to fraction form
    761,024/1,639,781 = 1,639,781/x
  3. Step 3: Cross multiply
    761,024x = 1,639,781 × 1,639,781
  4. Step 4: Simplify right side
    761,024x = 2,688,881,727,961
  5. Step 5: Solve for x
    x = 2,688,881,727,961/761,024
  6. Step 6: Final answer
    x = 3,533,241.70

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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.