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Finding the Third Proportional to 716,554 and 1,564,100

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Solution

The third proportional to 716,554 and 1,564,100 is: 3,414,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,554 : 1,564,100 = 1,564,100 : x
  2. Step 2: Convert to fraction form
    716,554/1,564,100 = 1,564,100/x
  3. Step 3: Cross multiply
    716,554x = 1,564,100 × 1,564,100
  4. Step 4: Simplify right side
    716,554x = 2,446,408,810,000
  5. Step 5: Solve for x
    x = 2,446,408,810,000/716,554
  6. Step 6: Final answer
    x = 3,414,130.42

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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.