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Finding the Third Proportional to 591,937 and 1,278,457

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Solution

The third proportional to 591,937 and 1,278,457 is: 2,761,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,937 : 1,278,457 = 1,278,457 : x
  2. Step 2: Convert to fraction form
    591,937/1,278,457 = 1,278,457/x
  3. Step 3: Cross multiply
    591,937x = 1,278,457 × 1,278,457
  4. Step 4: Simplify right side
    591,937x = 1,634,452,300,849
  5. Step 5: Solve for x
    x = 1,634,452,300,849/591,937
  6. Step 6: Final answer
    x = 2,761,193.00

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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.