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Finding the Third Proportional to 544,746 and 840,093

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Solution

The third proportional to 544,746 and 840,093 is: 1,295,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,746 : 840,093 = 840,093 : x
  2. Step 2: Convert to fraction form
    544,746/840,093 = 840,093/x
  3. Step 3: Cross multiply
    544,746x = 840,093 × 840,093
  4. Step 4: Simplify right side
    544,746x = 705,756,248,649
  5. Step 5: Solve for x
    x = 705,756,248,649/544,746
  6. Step 6: Final answer
    x = 1,295,569.40

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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.