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Finding the Third Proportional to 670,266 and 1,460,970

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Solution

The third proportional to 670,266 and 1,460,970 is: 3,184,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,266 : 1,460,970 = 1,460,970 : x
  2. Step 2: Convert to fraction form
    670,266/1,460,970 = 1,460,970/x
  3. Step 3: Cross multiply
    670,266x = 1,460,970 × 1,460,970
  4. Step 4: Simplify right side
    670,266x = 2,134,433,340,900
  5. Step 5: Solve for x
    x = 2,134,433,340,900/670,266
  6. Step 6: Final answer
    x = 3,184,457.13

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