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Finding the Third Proportional to 489,897 and 1,049,778

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Solution

The third proportional to 489,897 and 1,049,778 is: 2,249,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,897 : 1,049,778 = 1,049,778 : x
  2. Step 2: Convert to fraction form
    489,897/1,049,778 = 1,049,778/x
  3. Step 3: Cross multiply
    489,897x = 1,049,778 × 1,049,778
  4. Step 4: Simplify right side
    489,897x = 1,102,033,849,284
  5. Step 5: Solve for x
    x = 1,102,033,849,284/489,897
  6. Step 6: Final answer
    x = 2,249,521.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.