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Finding the Third Proportional to 651,242 and 1,388,506

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Solution

The third proportional to 651,242 and 1,388,506 is: 2,960,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,242 : 1,388,506 = 1,388,506 : x
  2. Step 2: Convert to fraction form
    651,242/1,388,506 = 1,388,506/x
  3. Step 3: Cross multiply
    651,242x = 1,388,506 × 1,388,506
  4. Step 4: Simplify right side
    651,242x = 1,927,948,912,036
  5. Step 5: Solve for x
    x = 1,927,948,912,036/651,242
  6. Step 6: Final answer
    x = 2,960,418.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.