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Finding the Third Proportional to 912,278 and 1,942,654

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Solution

The third proportional to 912,278 and 1,942,654 is: 4,136,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,278 : 1,942,654 = 1,942,654 : x
  2. Step 2: Convert to fraction form
    912,278/1,942,654 = 1,942,654/x
  3. Step 3: Cross multiply
    912,278x = 1,942,654 × 1,942,654
  4. Step 4: Simplify right side
    912,278x = 3,773,904,563,716
  5. Step 5: Solve for x
    x = 3,773,904,563,716/912,278
  6. Step 6: Final answer
    x = 4,136,792.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.