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Finding the Third Proportional to 623,402 and 1,346,449

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Solution

The third proportional to 623,402 and 1,346,449 is: 2,908,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,402 : 1,346,449 = 1,346,449 : x
  2. Step 2: Convert to fraction form
    623,402/1,346,449 = 1,346,449/x
  3. Step 3: Cross multiply
    623,402x = 1,346,449 × 1,346,449
  4. Step 4: Simplify right side
    623,402x = 1,812,924,909,601
  5. Step 5: Solve for x
    x = 1,812,924,909,601/623,402
  6. Step 6: Final answer
    x = 2,908,115.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.