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Finding the Third Proportional to 632,895 and 1,289,289

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Solution

The third proportional to 632,895 and 1,289,289 is: 2,626,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,895 : 1,289,289 = 1,289,289 : x
  2. Step 2: Convert to fraction form
    632,895/1,289,289 = 1,289,289/x
  3. Step 3: Cross multiply
    632,895x = 1,289,289 × 1,289,289
  4. Step 4: Simplify right side
    632,895x = 1,662,266,125,521
  5. Step 5: Solve for x
    x = 1,662,266,125,521/632,895
  6. Step 6: Final answer
    x = 2,626,448.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.