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Finding the Third Proportional to 578,507 and 1,245,914

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Solution

The third proportional to 578,507 and 1,245,914 is: 2,683,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,507 : 1,245,914 = 1,245,914 : x
  2. Step 2: Convert to fraction form
    578,507/1,245,914 = 1,245,914/x
  3. Step 3: Cross multiply
    578,507x = 1,245,914 × 1,245,914
  4. Step 4: Simplify right side
    578,507x = 1,552,301,695,396
  5. Step 5: Solve for x
    x = 1,552,301,695,396/578,507
  6. Step 6: Final answer
    x = 2,683,289.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.