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Finding the Third Proportional to 3,038,380 and 4,703,133

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Solution

The third proportional to 3,038,380 and 4,703,133 is: 7,280,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038,380 : 4,703,133 = 4,703,133 : x
  2. Step 2: Convert to fraction form
    3,038,380/4,703,133 = 4,703,133/x
  3. Step 3: Cross multiply
    3,038,380x = 4,703,133 × 4,703,133
  4. Step 4: Simplify right side
    3,038,380x = 22,119,460,015,689
  5. Step 5: Solve for x
    x = 22,119,460,015,689/3,038,380
  6. Step 6: Final answer
    x = 7,280,017.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.