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Finding the Third Proportional to 4,535,140 and 6,874,692

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Solution

The third proportional to 4,535,140 and 6,874,692 is: 10,421,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,140 : 6,874,692 = 6,874,692 : x
  2. Step 2: Convert to fraction form
    4,535,140/6,874,692 = 6,874,692/x
  3. Step 3: Cross multiply
    4,535,140x = 6,874,692 × 6,874,692
  4. Step 4: Simplify right side
    4,535,140x = 47,261,390,094,864
  5. Step 5: Solve for x
    x = 47,261,390,094,864/4,535,140
  6. Step 6: Final answer
    x = 10,421,153.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.