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Finding the Third Proportional to 654,192 and 1,037,664

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Solution

The third proportional to 654,192 and 1,037,664 is: 1,645,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,192 : 1,037,664 = 1,037,664 : x
  2. Step 2: Convert to fraction form
    654,192/1,037,664 = 1,037,664/x
  3. Step 3: Cross multiply
    654,192x = 1,037,664 × 1,037,664
  4. Step 4: Simplify right side
    654,192x = 1,076,746,576,896
  5. Step 5: Solve for x
    x = 1,076,746,576,896/654,192
  6. Step 6: Final answer
    x = 1,645,918.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.