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Finding the Third Proportional to 653,280 and 1,026,576

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Solution

The third proportional to 653,280 and 1,026,576 is: 1,613,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,280 : 1,026,576 = 1,026,576 : x
  2. Step 2: Convert to fraction form
    653,280/1,026,576 = 1,026,576/x
  3. Step 3: Cross multiply
    653,280x = 1,026,576 × 1,026,576
  4. Step 4: Simplify right side
    653,280x = 1,053,858,283,776
  5. Step 5: Solve for x
    x = 1,053,858,283,776/653,280
  6. Step 6: Final answer
    x = 1,613,180.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.