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Finding the Third Proportional to 894,938 and 1,300,143

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Solution

The third proportional to 894,938 and 1,300,143 is: 1,888,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,938 : 1,300,143 = 1,300,143 : x
  2. Step 2: Convert to fraction form
    894,938/1,300,143 = 1,300,143/x
  3. Step 3: Cross multiply
    894,938x = 1,300,143 × 1,300,143
  4. Step 4: Simplify right side
    894,938x = 1,690,371,820,449
  5. Step 5: Solve for x
    x = 1,690,371,820,449/894,938
  6. Step 6: Final answer
    x = 1,888,814.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.