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Finding the Third Proportional to 623,106 and 1,355,562

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Solution

The third proportional to 623,106 and 1,355,562 is: 2,949,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,106 : 1,355,562 = 1,355,562 : x
  2. Step 2: Convert to fraction form
    623,106/1,355,562 = 1,355,562/x
  3. Step 3: Cross multiply
    623,106x = 1,355,562 × 1,355,562
  4. Step 4: Simplify right side
    623,106x = 1,837,548,335,844
  5. Step 5: Solve for x
    x = 1,837,548,335,844/623,106
  6. Step 6: Final answer
    x = 2,949,014.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.