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Finding the Third Proportional to 734,155 and 1,507,836

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Solution

The third proportional to 734,155 and 1,507,836 is: 3,096,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,155 : 1,507,836 = 1,507,836 : x
  2. Step 2: Convert to fraction form
    734,155/1,507,836 = 1,507,836/x
  3. Step 3: Cross multiply
    734,155x = 1,507,836 × 1,507,836
  4. Step 4: Simplify right side
    734,155x = 2,273,569,402,896
  5. Step 5: Solve for x
    x = 2,273,569,402,896/734,155
  6. Step 6: Final answer
    x = 3,096,852.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.