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Finding the Third Proportional to 787,140 and 1,722,024

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Solution

The third proportional to 787,140 and 1,722,024 is: 3,767,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,140 : 1,722,024 = 1,722,024 : x
  2. Step 2: Convert to fraction form
    787,140/1,722,024 = 1,722,024/x
  3. Step 3: Cross multiply
    787,140x = 1,722,024 × 1,722,024
  4. Step 4: Simplify right side
    787,140x = 2,965,366,656,576
  5. Step 5: Solve for x
    x = 2,965,366,656,576/787,140
  6. Step 6: Final answer
    x = 3,767,267.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.