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Finding the Third Proportional to 774,706 and 1,132,329

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Solution

The third proportional to 774,706 and 1,132,329 is: 1,655,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,706 : 1,132,329 = 1,132,329 : x
  2. Step 2: Convert to fraction form
    774,706/1,132,329 = 1,132,329/x
  3. Step 3: Cross multiply
    774,706x = 1,132,329 × 1,132,329
  4. Step 4: Simplify right side
    774,706x = 1,282,168,964,241
  5. Step 5: Solve for x
    x = 1,282,168,964,241/774,706
  6. Step 6: Final answer
    x = 1,655,039.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.