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Finding the Third Proportional to 713,452 and 1,544,516

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Solution

The third proportional to 713,452 and 1,544,516 is: 3,343,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,452 : 1,544,516 = 1,544,516 : x
  2. Step 2: Convert to fraction form
    713,452/1,544,516 = 1,544,516/x
  3. Step 3: Cross multiply
    713,452x = 1,544,516 × 1,544,516
  4. Step 4: Simplify right side
    713,452x = 2,385,529,674,256
  5. Step 5: Solve for x
    x = 2,385,529,674,256/713,452
  6. Step 6: Final answer
    x = 3,343,644.25

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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.