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Finding the Third Proportional to 669,946.13 and 1,460,348.25

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Solution

The third proportional to 669,946.13 and 1,460,348.25 is: 3,183,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,946.13 : 1,460,348.25 = 1,460,348.25 : x
  2. Step 2: Convert to fraction form
    669,946.13/1,460,348.25 = 1,460,348.25/x
  3. Step 3: Cross multiply
    669,946.13x = 1,460,348.25 × 1,460,348.25
  4. Step 4: Simplify right side
    669,946.13x = 2,132,617,011,278.06
  5. Step 5: Solve for x
    x = 2,132,617,011,278.06/669,946.13
  6. Step 6: Final answer
    x = 3,183,266.43

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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.