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Finding the Third Proportional to 698,525 and 1,527,813

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Solution

The third proportional to 698,525 and 1,527,813 is: 3,341,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,525 : 1,527,813 = 1,527,813 : x
  2. Step 2: Convert to fraction form
    698,525/1,527,813 = 1,527,813/x
  3. Step 3: Cross multiply
    698,525x = 1,527,813 × 1,527,813
  4. Step 4: Simplify right side
    698,525x = 2,334,212,562,969
  5. Step 5: Solve for x
    x = 2,334,212,562,969/698,525
  6. Step 6: Final answer
    x = 3,341,630.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.