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Finding the Third Proportional to 642,315 and 1,399,022

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Solution

The third proportional to 642,315 and 1,399,022 is: 3,047,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,315 : 1,399,022 = 1,399,022 : x
  2. Step 2: Convert to fraction form
    642,315/1,399,022 = 1,399,022/x
  3. Step 3: Cross multiply
    642,315x = 1,399,022 × 1,399,022
  4. Step 4: Simplify right side
    642,315x = 1,957,262,556,484
  5. Step 5: Solve for x
    x = 1,957,262,556,484/642,315
  6. Step 6: Final answer
    x = 3,047,200.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.