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Finding the Third Proportional to 623,544 and 1,346,724

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Solution

The third proportional to 623,544 and 1,346,724 is: 2,908,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,544 : 1,346,724 = 1,346,724 : x
  2. Step 2: Convert to fraction form
    623,544/1,346,724 = 1,346,724/x
  3. Step 3: Cross multiply
    623,544x = 1,346,724 × 1,346,724
  4. Step 4: Simplify right side
    623,544x = 1,813,665,532,176
  5. Step 5: Solve for x
    x = 1,813,665,532,176/623,544
  6. Step 6: Final answer
    x = 2,908,640.82

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