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Finding the Third Proportional to 473,829 and 1,118,550

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Solution

The third proportional to 473,829 and 1,118,550 is: 2,640,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,829 : 1,118,550 = 1,118,550 : x
  2. Step 2: Convert to fraction form
    473,829/1,118,550 = 1,118,550/x
  3. Step 3: Cross multiply
    473,829x = 1,118,550 × 1,118,550
  4. Step 4: Simplify right side
    473,829x = 1,251,154,102,500
  5. Step 5: Solve for x
    x = 1,251,154,102,500/473,829
  6. Step 6: Final answer
    x = 2,640,518.21

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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.