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Finding the Third Proportional to 642,987 and 1,400,265

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Solution

The third proportional to 642,987 and 1,400,265 is: 3,049,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,987 : 1,400,265 = 1,400,265 : x
  2. Step 2: Convert to fraction form
    642,987/1,400,265 = 1,400,265/x
  3. Step 3: Cross multiply
    642,987x = 1,400,265 × 1,400,265
  4. Step 4: Simplify right side
    642,987x = 1,960,742,070,225
  5. Step 5: Solve for x
    x = 1,960,742,070,225/642,987
  6. Step 6: Final answer
    x = 3,049,427.24

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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.