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Finding the Third Proportional to 670,263 and 1,460,964

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Solution

The third proportional to 670,263 and 1,460,964 is: 3,184,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,263 : 1,460,964 = 1,460,964 : x
  2. Step 2: Convert to fraction form
    670,263/1,460,964 = 1,460,964/x
  3. Step 3: Cross multiply
    670,263x = 1,460,964 × 1,460,964
  4. Step 4: Simplify right side
    670,263x = 2,134,415,809,296
  5. Step 5: Solve for x
    x = 2,134,415,809,296/670,263
  6. Step 6: Final answer
    x = 3,184,445.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.