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Finding the Third Proportional to 683,340.32 and 1,495,389.01

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Solution

The third proportional to 683,340.32 and 1,495,389.01 is: 3,272,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,340.32 : 1,495,389.01 = 1,495,389.01 : x
  2. Step 2: Convert to fraction form
    683,340.32/1,495,389.01 = 1,495,389.01/x
  3. Step 3: Cross multiply
    683,340.32x = 1,495,389.01 × 1,495,389.01
  4. Step 4: Simplify right side
    683,340.32x = 2,236,188,305,131.11
  5. Step 5: Solve for x
    x = 2,236,188,305,131.11/683,340.32
  6. Step 6: Final answer
    x = 3,272,437.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.