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Finding the Third Proportional to 714,737.04 and 1,073,703.09

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Solution

The third proportional to 714,737.04 and 1,073,703.09 is: 1,612,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,737.04 : 1,073,703.09 = 1,073,703.09 : x
  2. Step 2: Convert to fraction form
    714,737.04/1,073,703.09 = 1,073,703.09/x
  3. Step 3: Cross multiply
    714,737.04x = 1,073,703.09 × 1,073,703.09
  4. Step 4: Simplify right side
    714,737.04x = 1,152,838,333,528.32
  5. Step 5: Solve for x
    x = 1,152,838,333,528.32/714,737.04
  6. Step 6: Final answer
    x = 1,612,954.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.