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Finding the Third Proportional to 833,114 and 1,725,304

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Solution

The third proportional to 833,114 and 1,725,304 is: 3,572,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,114 : 1,725,304 = 1,725,304 : x
  2. Step 2: Convert to fraction form
    833,114/1,725,304 = 1,725,304/x
  3. Step 3: Cross multiply
    833,114x = 1,725,304 × 1,725,304
  4. Step 4: Simplify right side
    833,114x = 2,976,673,892,416
  5. Step 5: Solve for x
    x = 2,976,673,892,416/833,114
  6. Step 6: Final answer
    x = 3,572,949.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.