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Finding the Third Proportional to 778,868 and 1,137,666

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Solution

The third proportional to 778,868 and 1,137,666 is: 1,661,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,868 : 1,137,666 = 1,137,666 : x
  2. Step 2: Convert to fraction form
    778,868/1,137,666 = 1,137,666/x
  3. Step 3: Cross multiply
    778,868x = 1,137,666 × 1,137,666
  4. Step 4: Simplify right side
    778,868x = 1,294,283,927,556
  5. Step 5: Solve for x
    x = 1,294,283,927,556/778,868
  6. Step 6: Final answer
    x = 1,661,750.04

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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.