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Finding the Third Proportional to 1,142,938 and 2,482,904

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Solution

The third proportional to 1,142,938 and 2,482,904 is: 5,393,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,938 : 2,482,904 = 2,482,904 : x
  2. Step 2: Convert to fraction form
    1,142,938/2,482,904 = 2,482,904/x
  3. Step 3: Cross multiply
    1,142,938x = 2,482,904 × 2,482,904
  4. Step 4: Simplify right side
    1,142,938x = 6,164,812,273,216
  5. Step 5: Solve for x
    x = 6,164,812,273,216/1,142,938
  6. Step 6: Final answer
    x = 5,393,829.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.