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Finding the Third Proportional to 434,907 and 899,646

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Solution

The third proportional to 434,907 and 899,646 is: 1,861,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,907 : 899,646 = 899,646 : x
  2. Step 2: Convert to fraction form
    434,907/899,646 = 899,646/x
  3. Step 3: Cross multiply
    434,907x = 899,646 × 899,646
  4. Step 4: Simplify right side
    434,907x = 809,362,925,316
  5. Step 5: Solve for x
    x = 809,362,925,316/434,907
  6. Step 6: Final answer
    x = 1,861,002.30

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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.