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Finding the Third Proportional to 786,507 and 1,723,077

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Solution

The third proportional to 786,507 and 1,723,077 is: 3,774,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,507 : 1,723,077 = 1,723,077 : x
  2. Step 2: Convert to fraction form
    786,507/1,723,077 = 1,723,077/x
  3. Step 3: Cross multiply
    786,507x = 1,723,077 × 1,723,077
  4. Step 4: Simplify right side
    786,507x = 2,968,994,347,929
  5. Step 5: Solve for x
    x = 2,968,994,347,929/786,507
  6. Step 6: Final answer
    x = 3,774,911.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.