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Finding the Third Proportional to 748,140 and 1,614,378

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Solution

The third proportional to 748,140 and 1,614,378 is: 3,483,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,140 : 1,614,378 = 1,614,378 : x
  2. Step 2: Convert to fraction form
    748,140/1,614,378 = 1,614,378/x
  3. Step 3: Cross multiply
    748,140x = 1,614,378 × 1,614,378
  4. Step 4: Simplify right side
    748,140x = 2,606,216,326,884
  5. Step 5: Solve for x
    x = 2,606,216,326,884/748,140
  6. Step 6: Final answer
    x = 3,483,594.42

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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.