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Finding the Third Proportional to 450,066 and 1,062,423

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Solution

The third proportional to 450,066 and 1,062,423 is: 2,507,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,066 : 1,062,423 = 1,062,423 : x
  2. Step 2: Convert to fraction form
    450,066/1,062,423 = 1,062,423/x
  3. Step 3: Cross multiply
    450,066x = 1,062,423 × 1,062,423
  4. Step 4: Simplify right side
    450,066x = 1,128,742,630,929
  5. Step 5: Solve for x
    x = 1,128,742,630,929/450,066
  6. Step 6: Final answer
    x = 2,507,949.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.