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Finding the Third Proportional to 680,450.63 and 1,026,145.13

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Solution

The third proportional to 680,450.63 and 1,026,145.13 is: 1,547,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,450.63 : 1,026,145.13 = 1,026,145.13 : x
  2. Step 2: Convert to fraction form
    680,450.63/1,026,145.13 = 1,026,145.13/x
  3. Step 3: Cross multiply
    680,450.63x = 1,026,145.13 × 1,026,145.13
  4. Step 4: Simplify right side
    680,450.63x = 1,052,973,817,561.27
  5. Step 5: Solve for x
    x = 1,052,973,817,561.27/680,450.63
  6. Step 6: Final answer
    x = 1,547,465.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.