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Finding the Third Proportional to 713,637 and 1,043,664

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Solution

The third proportional to 713,637 and 1,043,664 is: 1,526,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,637 : 1,043,664 = 1,043,664 : x
  2. Step 2: Convert to fraction form
    713,637/1,043,664 = 1,043,664/x
  3. Step 3: Cross multiply
    713,637x = 1,043,664 × 1,043,664
  4. Step 4: Simplify right side
    713,637x = 1,089,234,544,896
  5. Step 5: Solve for x
    x = 1,089,234,544,896/713,637
  6. Step 6: Final answer
    x = 1,526,314.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.