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Finding the Third Proportional to 776,706 and 1,043,073

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Solution

The third proportional to 776,706 and 1,043,073 is: 1,400,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,706 : 1,043,073 = 1,043,073 : x
  2. Step 2: Convert to fraction form
    776,706/1,043,073 = 1,043,073/x
  3. Step 3: Cross multiply
    776,706x = 1,043,073 × 1,043,073
  4. Step 4: Simplify right side
    776,706x = 1,088,001,283,329
  5. Step 5: Solve for x
    x = 1,088,001,283,329/776,706
  6. Step 6: Final answer
    x = 1,400,789.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.