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Finding the Third Proportional to 632,547.25 and 1,377,406

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Solution

The third proportional to 632,547.25 and 1,377,406 is: 2,999,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,547.25 : 1,377,406 = 1,377,406 : x
  2. Step 2: Convert to fraction form
    632,547.25/1,377,406 = 1,377,406/x
  3. Step 3: Cross multiply
    632,547.25x = 1,377,406 × 1,377,406
  4. Step 4: Simplify right side
    632,547.25x = 1,897,247,288,836
  5. Step 5: Solve for x
    x = 1,897,247,288,836/632,547.25
  6. Step 6: Final answer
    x = 2,999,376.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.