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Finding the Third Proportional to 780,773 and 1,880,913

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Solution

The third proportional to 780,773 and 1,880,913 is: 4,531,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,773 : 1,880,913 = 1,880,913 : x
  2. Step 2: Convert to fraction form
    780,773/1,880,913 = 1,880,913/x
  3. Step 3: Cross multiply
    780,773x = 1,880,913 × 1,880,913
  4. Step 4: Simplify right side
    780,773x = 3,537,833,713,569
  5. Step 5: Solve for x
    x = 3,537,833,713,569/780,773
  6. Step 6: Final answer
    x = 4,531,193.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.