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Finding the Third Proportional to 489,827 and 756,585

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Solution

The third proportional to 489,827 and 756,585 is: 1,168,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,827 : 756,585 = 756,585 : x
  2. Step 2: Convert to fraction form
    489,827/756,585 = 756,585/x
  3. Step 3: Cross multiply
    489,827x = 756,585 × 756,585
  4. Step 4: Simplify right side
    489,827x = 572,420,862,225
  5. Step 5: Solve for x
    x = 572,420,862,225/489,827
  6. Step 6: Final answer
    x = 1,168,618.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.