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Finding the Third Proportional to 702,677 and 1,562,572

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Solution

The third proportional to 702,677 and 1,562,572 is: 3,474,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,677 : 1,562,572 = 1,562,572 : x
  2. Step 2: Convert to fraction form
    702,677/1,562,572 = 1,562,572/x
  3. Step 3: Cross multiply
    702,677x = 1,562,572 × 1,562,572
  4. Step 4: Simplify right side
    702,677x = 2,441,631,255,184
  5. Step 5: Solve for x
    x = 2,441,631,255,184/702,677
  6. Step 6: Final answer
    x = 3,474,756.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.