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Finding the Third Proportional to 699,604 and 1,546,224

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Solution

The third proportional to 699,604 and 1,546,224 is: 3,417,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,604 : 1,546,224 = 1,546,224 : x
  2. Step 2: Convert to fraction form
    699,604/1,546,224 = 1,546,224/x
  3. Step 3: Cross multiply
    699,604x = 1,546,224 × 1,546,224
  4. Step 4: Simplify right side
    699,604x = 2,390,808,658,176
  5. Step 5: Solve for x
    x = 2,390,808,658,176/699,604
  6. Step 6: Final answer
    x = 3,417,374.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.