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Finding the Third Proportional to 886,854 and 1,352,423

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Solution

The third proportional to 886,854 and 1,352,423 is: 2,062,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,854 : 1,352,423 = 1,352,423 : x
  2. Step 2: Convert to fraction form
    886,854/1,352,423 = 1,352,423/x
  3. Step 3: Cross multiply
    886,854x = 1,352,423 × 1,352,423
  4. Step 4: Simplify right side
    886,854x = 1,829,047,970,929
  5. Step 5: Solve for x
    x = 1,829,047,970,929/886,854
  6. Step 6: Final answer
    x = 2,062,400.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.