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Finding the Third Proportional to 702,623.53 and 1,460,445.19

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Solution

The third proportional to 702,623.53 and 1,460,445.19 is: 3,035,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,623.53 : 1,460,445.19 = 1,460,445.19 : x
  2. Step 2: Convert to fraction form
    702,623.53/1,460,445.19 = 1,460,445.19/x
  3. Step 3: Cross multiply
    702,623.53x = 1,460,445.19 × 1,460,445.19
  4. Step 4: Simplify right side
    702,623.53x = 2,132,900,145,691.91
  5. Step 5: Solve for x
    x = 2,132,900,145,691.91/702,623.53
  6. Step 6: Final answer
    x = 3,035,622.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.