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Finding the Third Proportional to 749,160 and 1,638,450

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Solution

The third proportional to 749,160 and 1,638,450 is: 3,583,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,160 : 1,638,450 = 1,638,450 : x
  2. Step 2: Convert to fraction form
    749,160/1,638,450 = 1,638,450/x
  3. Step 3: Cross multiply
    749,160x = 1,638,450 × 1,638,450
  4. Step 4: Simplify right side
    749,160x = 2,684,518,402,500
  5. Step 5: Solve for x
    x = 2,684,518,402,500/749,160
  6. Step 6: Final answer
    x = 3,583,371.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.