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Finding the Third Proportional to 623,356 and 1,346,368

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Solution

The third proportional to 623,356 and 1,346,368 is: 2,907,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,356 : 1,346,368 = 1,346,368 : x
  2. Step 2: Convert to fraction form
    623,356/1,346,368 = 1,346,368/x
  3. Step 3: Cross multiply
    623,356x = 1,346,368 × 1,346,368
  4. Step 4: Simplify right side
    623,356x = 1,812,706,791,424
  5. Step 5: Solve for x
    x = 1,812,706,791,424/623,356
  6. Step 6: Final answer
    x = 2,907,980.02

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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.