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Finding the Third Proportional to 712,923.50 and 1,484,820

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Solution

The third proportional to 712,923.50 and 1,484,820 is: 3,092,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,923.50 : 1,484,820 = 1,484,820 : x
  2. Step 2: Convert to fraction form
    712,923.50/1,484,820 = 1,484,820/x
  3. Step 3: Cross multiply
    712,923.50x = 1,484,820 × 1,484,820
  4. Step 4: Simplify right side
    712,923.50x = 2,204,690,432,400
  5. Step 5: Solve for x
    x = 2,204,690,432,400/712,923.50
  6. Step 6: Final answer
    x = 3,092,464.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.