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Finding the Third Proportional to 497,548 and 1,073,720

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Solution

The third proportional to 497,548 and 1,073,720 is: 2,317,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,548 : 1,073,720 = 1,073,720 : x
  2. Step 2: Convert to fraction form
    497,548/1,073,720 = 1,073,720/x
  3. Step 3: Cross multiply
    497,548x = 1,073,720 × 1,073,720
  4. Step 4: Simplify right side
    497,548x = 1,152,874,638,400
  5. Step 5: Solve for x
    x = 1,152,874,638,400/497,548
  6. Step 6: Final answer
    x = 2,317,112.40

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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.