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Finding the Third Proportional to 775,476 and 1,137,653

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Solution

The third proportional to 775,476 and 1,137,653 is: 1,668,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,476 : 1,137,653 = 1,137,653 : x
  2. Step 2: Convert to fraction form
    775,476/1,137,653 = 1,137,653/x
  3. Step 3: Cross multiply
    775,476x = 1,137,653 × 1,137,653
  4. Step 4: Simplify right side
    775,476x = 1,294,254,348,409
  5. Step 5: Solve for x
    x = 1,294,254,348,409/775,476
  6. Step 6: Final answer
    x = 1,668,980.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.