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Finding the Third Proportional to 742,154 and 1,589,248

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Solution

The third proportional to 742,154 and 1,589,248 is: 3,403,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,154 : 1,589,248 = 1,589,248 : x
  2. Step 2: Convert to fraction form
    742,154/1,589,248 = 1,589,248/x
  3. Step 3: Cross multiply
    742,154x = 1,589,248 × 1,589,248
  4. Step 4: Simplify right side
    742,154x = 2,525,709,205,504
  5. Step 5: Solve for x
    x = 2,525,709,205,504/742,154
  6. Step 6: Final answer
    x = 3,403,214.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.