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Finding the Third Proportional to 623,336 and 1,346,356

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Solution

The third proportional to 623,336 and 1,346,356 is: 2,908,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,336 : 1,346,356 = 1,346,356 : x
  2. Step 2: Convert to fraction form
    623,336/1,346,356 = 1,346,356/x
  3. Step 3: Cross multiply
    623,336x = 1,346,356 × 1,346,356
  4. Step 4: Simplify right side
    623,336x = 1,812,674,478,736
  5. Step 5: Solve for x
    x = 1,812,674,478,736/623,336
  6. Step 6: Final answer
    x = 2,908,021.48

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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.