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Finding the Third Proportional to 713,744 and 1,076,664

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Solution

The third proportional to 713,744 and 1,076,664 is: 1,624,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,744 : 1,076,664 = 1,076,664 : x
  2. Step 2: Convert to fraction form
    713,744/1,076,664 = 1,076,664/x
  3. Step 3: Cross multiply
    713,744x = 1,076,664 × 1,076,664
  4. Step 4: Simplify right side
    713,744x = 1,159,205,368,896
  5. Step 5: Solve for x
    x = 1,159,205,368,896/713,744
  6. Step 6: Final answer
    x = 1,624,119.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.