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Finding the Third Proportional to 680,934.94 and 1,026,506.25

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Solution

The third proportional to 680,934.94 and 1,026,506.25 is: 1,547,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,934.94 : 1,026,506.25 = 1,026,506.25 : x
  2. Step 2: Convert to fraction form
    680,934.94/1,026,506.25 = 1,026,506.25/x
  3. Step 3: Cross multiply
    680,934.94x = 1,026,506.25 × 1,026,506.25
  4. Step 4: Simplify right side
    680,934.94x = 1,053,715,081,289.06
  5. Step 5: Solve for x
    x = 1,053,715,081,289.06/680,934.94
  6. Step 6: Final answer
    x = 1,547,453.40

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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.