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Finding the Third Proportional to 591,678 and 1,293,948

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Solution

The third proportional to 591,678 and 1,293,948 is: 2,829,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,678 : 1,293,948 = 1,293,948 : x
  2. Step 2: Convert to fraction form
    591,678/1,293,948 = 1,293,948/x
  3. Step 3: Cross multiply
    591,678x = 1,293,948 × 1,293,948
  4. Step 4: Simplify right side
    591,678x = 1,674,301,426,704
  5. Step 5: Solve for x
    x = 1,674,301,426,704/591,678
  6. Step 6: Final answer
    x = 2,829,751.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.