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Finding the Third Proportional to 652,320 and 1,037,772

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Solution

The third proportional to 652,320 and 1,037,772 is: 1,650,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,320 : 1,037,772 = 1,037,772 : x
  2. Step 2: Convert to fraction form
    652,320/1,037,772 = 1,037,772/x
  3. Step 3: Cross multiply
    652,320x = 1,037,772 × 1,037,772
  4. Step 4: Simplify right side
    652,320x = 1,076,970,723,984
  5. Step 5: Solve for x
    x = 1,076,970,723,984/652,320
  6. Step 6: Final answer
    x = 1,650,985.29

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