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Finding the Third Proportional to 656,493 and 1,413,411

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Solution

The third proportional to 656,493 and 1,413,411 is: 3,043,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,493 : 1,413,411 = 1,413,411 : x
  2. Step 2: Convert to fraction form
    656,493/1,413,411 = 1,413,411/x
  3. Step 3: Cross multiply
    656,493x = 1,413,411 × 1,413,411
  4. Step 4: Simplify right side
    656,493x = 1,997,730,654,921
  5. Step 5: Solve for x
    x = 1,997,730,654,921/656,493
  6. Step 6: Final answer
    x = 3,043,034.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.