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Finding the Third Proportional to 656,392 and 1,434,272

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Solution

The third proportional to 656,392 and 1,434,272 is: 3,134,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,392 : 1,434,272 = 1,434,272 : x
  2. Step 2: Convert to fraction form
    656,392/1,434,272 = 1,434,272/x
  3. Step 3: Cross multiply
    656,392x = 1,434,272 × 1,434,272
  4. Step 4: Simplify right side
    656,392x = 2,057,136,169,984
  5. Step 5: Solve for x
    x = 2,057,136,169,984/656,392
  6. Step 6: Final answer
    x = 3,134,005.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.