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Finding the Third Proportional to 1,225,140 and 2,595,752

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Solution

The third proportional to 1,225,140 and 2,595,752 is: 5,499,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,140 : 2,595,752 = 2,595,752 : x
  2. Step 2: Convert to fraction form
    1,225,140/2,595,752 = 2,595,752/x
  3. Step 3: Cross multiply
    1,225,140x = 2,595,752 × 2,595,752
  4. Step 4: Simplify right side
    1,225,140x = 6,737,928,445,504
  5. Step 5: Solve for x
    x = 6,737,928,445,504/1,225,140
  6. Step 6: Final answer
    x = 5,499,721.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.