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Finding the Third Proportional to 656,468 and 1,413,376

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Solution

The third proportional to 656,468 and 1,413,376 is: 3,042,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,468 : 1,413,376 = 1,413,376 : x
  2. Step 2: Convert to fraction form
    656,468/1,413,376 = 1,413,376/x
  3. Step 3: Cross multiply
    656,468x = 1,413,376 × 1,413,376
  4. Step 4: Simplify right side
    656,468x = 1,997,631,717,376
  5. Step 5: Solve for x
    x = 1,997,631,717,376/656,468
  6. Step 6: Final answer
    x = 3,042,999.38

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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.