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Finding the Third Proportional to 714,600 and 1,569,213

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Solution

The third proportional to 714,600 and 1,569,213 is: 3,445,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,600 : 1,569,213 = 1,569,213 : x
  2. Step 2: Convert to fraction form
    714,600/1,569,213 = 1,569,213/x
  3. Step 3: Cross multiply
    714,600x = 1,569,213 × 1,569,213
  4. Step 4: Simplify right side
    714,600x = 2,462,429,439,369
  5. Step 5: Solve for x
    x = 2,462,429,439,369/714,600
  6. Step 6: Final answer
    x = 3,445,885.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.