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Finding the Third Proportional to 656,451 and 1,413,341

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Solution

The third proportional to 656,451 and 1,413,341 is: 3,042,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,451 : 1,413,341 = 1,413,341 : x
  2. Step 2: Convert to fraction form
    656,451/1,413,341 = 1,413,341/x
  3. Step 3: Cross multiply
    656,451x = 1,413,341 × 1,413,341
  4. Step 4: Simplify right side
    656,451x = 1,997,532,782,281
  5. Step 5: Solve for x
    x = 1,997,532,782,281/656,451
  6. Step 6: Final answer
    x = 3,042,927.47

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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.