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Finding the Third Proportional to 473,845 and 1,118,585

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Solution

The third proportional to 473,845 and 1,118,585 is: 2,640,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,845 : 1,118,585 = 1,118,585 : x
  2. Step 2: Convert to fraction form
    473,845/1,118,585 = 1,118,585/x
  3. Step 3: Cross multiply
    473,845x = 1,118,585 × 1,118,585
  4. Step 4: Simplify right side
    473,845x = 1,251,232,402,225
  5. Step 5: Solve for x
    x = 1,251,232,402,225/473,845
  6. Step 6: Final answer
    x = 2,640,594.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.