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Finding the Third Proportional to 434,091 and 930,482

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Solution

The third proportional to 434,091 and 930,482 is: 1,994,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,091 : 930,482 = 930,482 : x
  2. Step 2: Convert to fraction form
    434,091/930,482 = 930,482/x
  3. Step 3: Cross multiply
    434,091x = 930,482 × 930,482
  4. Step 4: Simplify right side
    434,091x = 865,796,752,324
  5. Step 5: Solve for x
    x = 865,796,752,324/434,091
  6. Step 6: Final answer
    x = 1,994,505.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.